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Finding the Third Proportional to 539,752.50 and 792,114.75

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Solution

The third proportional to 539,752.50 and 792,114.75 is: 1,162,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,752.50 : 792,114.75 = 792,114.75 : x
  2. Step 2: Convert to fraction form
    539,752.50/792,114.75 = 792,114.75/x
  3. Step 3: Cross multiply
    539,752.50x = 792,114.75 × 792,114.75
  4. Step 4: Simplify right side
    539,752.50x = 627,445,777,167.56
  5. Step 5: Solve for x
    x = 627,445,777,167.56/539,752.50
  6. Step 6: Final answer
    x = 1,162,469.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.