Finding the Third Proportional to 427,460 and 664,524
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Solution
The third proportional to 427,460 and 664,524 is: 1,033,060.75
Step by Step Solution
- Step 1: Write the proportion equation
427,460 : 664,524 = 664,524 : x - Step 2: Convert to fraction form
427,460/664,524 = 664,524/x - Step 3: Cross multiply
427,460x = 664,524 × 664,524 - Step 4: Simplify right side
427,460x = 441,592,146,576 - Step 5: Solve for x
x = 441,592,146,576/427,460 - Step 6: Final answer
x = 1,033,060.75
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.