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Finding the Third Proportional to 267,664 and 394,098

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Solution

The third proportional to 267,664 and 394,098 is: 580,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,664 : 394,098 = 394,098 : x
  2. Step 2: Convert to fraction form
    267,664/394,098 = 394,098/x
  3. Step 3: Cross multiply
    267,664x = 394,098 × 394,098
  4. Step 4: Simplify right side
    267,664x = 155,313,233,604
  5. Step 5: Solve for x
    x = 155,313,233,604/267,664
  6. Step 6: Final answer
    x = 580,254.47

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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.