The Dominicans were eliminated from the 2009 WBC when they lost twice to the Netherlands in a stunning first-round upset.
"We're not thinking of the past; we're thinking of the present," Dominican manager Tony Pena said. "They're going to be tough. We're going to be tough also."
Puerto Rico will face Japan for the first time.
"They're the two-time champions of the WBC for a reason," Puerto Rican manager Edwin Rodriguez said. "They know how to play the game, and they put a lot of emphasis on the little things. We'll have to play an almost perfect game."
The Caribbean carnival that provided a soundtrack all week reached a crescendo on the final day in Miami, with the steady beat of drums and the bleat of air horns from a crowd of 25,846.
"This was like the World Series," said Dominican second baseman Robinson Cano, who was selected the most valuable player for the second round in a row. "It was a great atmosphere."
Rodriguez (1-0) allowed two hits and departed with a 1-0 lead. He retired all five batters he faced with runners in scoring position, and the Puerto Ricans finished 0 for 8 in those situations.
Carlos Santana broke a scoreless tie for the Dominicans with his second home run in the fifth inning.
Fernando Rodney gave up a hit for the first time but earned his fifth save, extending his WBC record. Dominicans relievers lowered their ERA to 2.01, and the team improved to 6-0 in the tournament.
"This is a triumph for all Dominicans anywhere in the world," said Cano, who went 1 for 4 and is batting .417 in the tournament.
"We are a small nation, but with good foundation," Santana said. "We have good ballplayers, and that is being proven here."
The Puerto Ricans eliminated the United States on Friday but couldn't get their bats going barely 12 hours later. Their lone hits were a single by Carlos Rivera in the third inning, a double by Luis Figueroa leading off the fourth and a double by Mike Aviles with two out in the ninth.
Their best threat came with the game scoreless in the third, when Irvin Falu reached third with one out. With the infield in, he was retired easily trying to score on a grounder to shortstop Erick Aybar.
With both teams assured of moving on, the managers gave their starters some rest.
Puerto Rico vs. Japan,7 p.m.
Netherlands vs. Dominican Republic, 7 p.m.