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Finding the Third Proportional to 267,966 and 414,732

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Solution

The third proportional to 267,966 and 414,732 is: 641,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,966 : 414,732 = 414,732 : x
  2. Step 2: Convert to fraction form
    267,966/414,732 = 414,732/x
  3. Step 3: Cross multiply
    267,966x = 414,732 × 414,732
  4. Step 4: Simplify right side
    267,966x = 172,002,631,824
  5. Step 5: Solve for x
    x = 172,002,631,824/267,966
  6. Step 6: Final answer
    x = 641,882.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.