Final answer:
During the Progressive Era, the United States engaged in the Spanish-American War and established the Open Door Policy in China, expanding American influence internationally.
Step-by-step explanation:
During the Progressive Era, two significant events in US foreign policy were the Spanish-American War and the establishment of the Open Door Policy in China. These events marked a departure from isolationism and a turn toward more active international engagement. The Spanish-American War in 1898 resulted in the U.S. acquiring territories such as the Philippines and becoming recognized as a global power.
The Open Door Policy, initiated through a series of notes in 1899 and 1900 by Secretary of State John Hay, established equal trading rights for all nations in China and prevented any single power from monopolizing Chinese trade. These actions played pivotal roles in expanding American influence and marked a historical shift in the manner the U.S. interacted with the rest of the world.