Answer
A. One specific historical example of a state-sponsored transoceanic interaction during the period ca. 1450 - 1750 CE is the Portuguese exploration and colonization of Brazil.
B. One specific historical example of an economic factor that facilitated transoceanic interaction during the period ca. 1450 - 1750 CE is the rise of capitalism and the desire for new markets and resources, which led European powers to seek out new trade routes and colonies.
C. One specific historical example of a social or cultural factor that facilitated transoceanic interaction during the period ca. 1450 - 1750 CE is the spread of Christianity and the desire to convert non-Christian peoples, which led to missionary efforts and the establishment of Christian communities in new territories.