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Finding the Third Proportional to 267,613 and 394,027

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Solution

The third proportional to 267,613 and 394,027 is: 580,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,613 : 394,027 = 394,027 : x
  2. Step 2: Convert to fraction form
    267,613/394,027 = 394,027/x
  3. Step 3: Cross multiply
    267,613x = 394,027 × 394,027
  4. Step 4: Simplify right side
    267,613x = 155,257,276,729
  5. Step 5: Solve for x
    x = 155,257,276,729/267,613
  6. Step 6: Final answer
    x = 580,155.96

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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.