Finding the Third Proportional to 402,741 and 564,439
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Solution
The third proportional to 402,741 and 564,439 is: 791,057.74
Step by Step Solution
- Step 1: Write the proportion equation
402,741 : 564,439 = 564,439 : x - Step 2: Convert to fraction form
402,741/564,439 = 564,439/x - Step 3: Cross multiply
402,741x = 564,439 × 564,439 - Step 4: Simplify right side
402,741x = 318,591,384,721 - Step 5: Solve for x
x = 318,591,384,721/402,741 - Step 6: Final answer
x = 791,057.74
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.