Finding the Third Proportional to 413,097.50 and 907,493
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Solution
The third proportional to 413,097.50 and 907,493 is: 1,993,581.53
Step by Step Solution
- Step 1: Write the proportion equation
413,097.50 : 907,493 = 907,493 : x - Step 2: Convert to fraction form
413,097.50/907,493 = 907,493/x - Step 3: Cross multiply
413,097.50x = 907,493 × 907,493 - Step 4: Simplify right side
413,097.50x = 823,543,545,049 - Step 5: Solve for x
x = 823,543,545,049/413,097.50 - Step 6: Final answer
x = 1,993,581.53
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.