This is the 372nd most frequent Korean word.
미국과
"미국과" means "with the United States" or "and the United States."
Here, "미국과" serves to indicate the relationship of possession with "지도" (map), joined by "과" to include both "미국" and "멕시코" as entities being studied together.
학생들은 미국과 멕시코의 지도를 비교하며 공부했습니다.
The students compared the maps of the United States and Mexico while studying.
Here "미국과" means "with the United States," indicating the associative connection brought by "과." It's used to express collaboration or relation with the preceding noun, here "미국."
미국과 교류를 확장하려는 노력이 계속되고 있습니다.
Efforts to expand exchanges with the United States are ongoing.
In this sentence, "미국과" means "the United States and," connecting "미국" (the United States) to "일본" (Japan) using the conjunctive particle "과." This particle is typically used to link entities as subjects in coordination.