Finding the Third Proportional to 412,904 and 581,439
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Solution
The third proportional to 412,904 and 581,439 is: 818,764.92
Step by Step Solution
- Step 1: Write the proportion equation
412,904 : 581,439 = 581,439 : x - Step 2: Convert to fraction form
412,904/581,439 = 581,439/x - Step 3: Cross multiply
412,904x = 581,439 × 581,439 - Step 4: Simplify right side
412,904x = 338,071,310,721 - Step 5: Solve for x
x = 338,071,310,721/412,904 - Step 6: Final answer
x = 818,764.92
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.