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Finding the Third Proportional to 550,517.25 and 842,229.75

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Solution

The third proportional to 550,517.25 and 842,229.75 is: 1,288,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,517.25 : 842,229.75 = 842,229.75 : x
  2. Step 2: Convert to fraction form
    550,517.25/842,229.75 = 842,229.75/x
  3. Step 3: Cross multiply
    550,517.25x = 842,229.75 × 842,229.75
  4. Step 4: Simplify right side
    550,517.25x = 709,350,951,785.06
  5. Step 5: Solve for x
    x = 709,350,951,785.06/550,517.25
  6. Step 6: Final answer
    x = 1,288,517.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.