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Finding the Third Proportional to 621,847.13 and 932,588.44

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Solution

The third proportional to 621,847.13 and 932,588.44 is: 1,398,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,847.13 : 932,588.44 = 932,588.44 : x
  2. Step 2: Convert to fraction form
    621,847.13/932,588.44 = 932,588.44/x
  3. Step 3: Cross multiply
    621,847.13x = 932,588.44 × 932,588.44
  4. Step 4: Simplify right side
    621,847.13x = 869,721,193,758.69
  5. Step 5: Solve for x
    x = 869,721,193,758.69/621,847.13
  6. Step 6: Final answer
    x = 1,398,609.33

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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.