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Finding the Third Proportional to 240,061.75 and 517,340.75

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Solution

The third proportional to 240,061.75 and 517,340.75 is: 1,114,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,061.75 : 517,340.75 = 517,340.75 : x
  2. Step 2: Convert to fraction form
    240,061.75/517,340.75 = 517,340.75/x
  3. Step 3: Cross multiply
    240,061.75x = 517,340.75 × 517,340.75
  4. Step 4: Simplify right side
    240,061.75x = 267,641,451,610.56
  5. Step 5: Solve for x
    x = 267,641,451,610.56/240,061.75
  6. Step 6: Final answer
    x = 1,114,885.86

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Why These Related Problems?

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