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Finding the Third Proportional to 267,641.88 and 394,069.13

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Solution

The third proportional to 267,641.88 and 394,069.13 is: 580,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,641.88 : 394,069.13 = 394,069.13 : x
  2. Step 2: Convert to fraction form
    267,641.88/394,069.13 = 394,069.13/x
  3. Step 3: Cross multiply
    267,641.88x = 394,069.13 × 394,069.13
  4. Step 4: Simplify right side
    267,641.88x = 155,290,475,278.27
  5. Step 5: Solve for x
    x = 155,290,475,278.27/267,641.88
  6. Step 6: Final answer
    x = 580,217.41

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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.