Finding the Third Proportional to 272,821.92 and 413,007.19
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Solution
The third proportional to 272,821.92 and 413,007.19 is: 625,224.45
Step by Step Solution
- Step 1: Write the proportion equation
272,821.92 : 413,007.19 = 413,007.19 : x - Step 2: Convert to fraction form
272,821.92/413,007.19 = 413,007.19/x - Step 3: Cross multiply
272,821.92x = 413,007.19 × 413,007.19 - Step 4: Simplify right side
272,821.92x = 170,574,936,926.66 - Step 5: Solve for x
x = 170,574,936,926.66/272,821.92 - Step 6: Final answer
x = 625,224.45
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.