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Finding the Third Proportional to 617,010.75 and 932,077.13

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Solution

The third proportional to 617,010.75 and 932,077.13 is: 1,408,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,010.75 : 932,077.13 = 932,077.13 : x
  2. Step 2: Convert to fraction form
    617,010.75/932,077.13 = 932,077.13/x
  3. Step 3: Cross multiply
    617,010.75x = 932,077.13 × 932,077.13
  4. Step 4: Simplify right side
    617,010.75x = 868,767,766,948.27
  5. Step 5: Solve for x
    x = 868,767,766,948.27/617,010.75
  6. Step 6: Final answer
    x = 1,408,026.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.