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Finding the Third Proportional to 398,920 and 861,256

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Solution

The third proportional to 398,920 and 861,256 is: 1,859,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,920 : 861,256 = 861,256 : x
  2. Step 2: Convert to fraction form
    398,920/861,256 = 861,256/x
  3. Step 3: Cross multiply
    398,920x = 861,256 × 861,256
  4. Step 4: Simplify right side
    398,920x = 741,761,897,536
  5. Step 5: Solve for x
    x = 741,761,897,536/398,920
  6. Step 6: Final answer
    x = 1,859,425.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.