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Finding the Third Proportional to 424,539 and 636,745

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Solution

The third proportional to 424,539 and 636,745 is: 955,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,539 : 636,745 = 636,745 : x
  2. Step 2: Convert to fraction form
    424,539/636,745 = 636,745/x
  3. Step 3: Cross multiply
    424,539x = 636,745 × 636,745
  4. Step 4: Simplify right side
    424,539x = 405,444,195,025
  5. Step 5: Solve for x
    x = 405,444,195,025/424,539
  6. Step 6: Final answer
    x = 955,022.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.