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Finding the Third Proportional to 267,644 and 394,073

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Solution

The third proportional to 267,644 and 394,073 is: 580,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,644 : 394,073 = 394,073 : x
  2. Step 2: Convert to fraction form
    267,644/394,073 = 394,073/x
  3. Step 3: Cross multiply
    267,644x = 394,073 × 394,073
  4. Step 4: Simplify right side
    267,644x = 155,293,529,329
  5. Step 5: Solve for x
    x = 155,293,529,329/267,644
  6. Step 6: Final answer
    x = 580,224.21

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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.