Finding the Third Proportional to 413,926 and 632,919
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Solution
The third proportional to 413,926 and 632,919 is: 967,773.13
Step by Step Solution
- Step 1: Write the proportion equation
413,926 : 632,919 = 632,919 : x - Step 2: Convert to fraction form
413,926/632,919 = 632,919/x - Step 3: Cross multiply
413,926x = 632,919 × 632,919 - Step 4: Simplify right side
413,926x = 400,586,460,561 - Step 5: Solve for x
x = 400,586,460,561/413,926 - Step 6: Final answer
x = 967,773.13
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.