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Finding the Third Proportional to 267,967 and 426,551

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Solution

The third proportional to 267,967 and 426,551 is: 678,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,967 : 426,551 = 426,551 : x
  2. Step 2: Convert to fraction form
    267,967/426,551 = 426,551/x
  3. Step 3: Cross multiply
    267,967x = 426,551 × 426,551
  4. Step 4: Simplify right side
    267,967x = 181,945,755,601
  5. Step 5: Solve for x
    x = 181,945,755,601/267,967
  6. Step 6: Final answer
    x = 678,985.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.