Finding the Third Proportional to 232,816 and 499,616
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Solution
The third proportional to 232,816 and 499,616 is: 1,072,160.62
Step by Step Solution
- Step 1: Write the proportion equation
232,816 : 499,616 = 499,616 : x - Step 2: Convert to fraction form
232,816/499,616 = 499,616/x - Step 3: Cross multiply
232,816x = 499,616 × 499,616 - Step 4: Simplify right side
232,816x = 249,616,147,456 - Step 5: Solve for x
x = 249,616,147,456/232,816 - Step 6: Final answer
x = 1,072,160.62
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.