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Finding the Third Proportional to 636,570 and 865,044

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Solution

The third proportional to 636,570 and 865,044 is: 1,175,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,570 : 865,044 = 865,044 : x
  2. Step 2: Convert to fraction form
    636,570/865,044 = 865,044/x
  3. Step 3: Cross multiply
    636,570x = 865,044 × 865,044
  4. Step 4: Simplify right side
    636,570x = 748,301,121,936
  5. Step 5: Solve for x
    x = 748,301,121,936/636,570
  6. Step 6: Final answer
    x = 1,175,520.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.