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Finding the Third Proportional to 267,912 and 364,850

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Solution

The third proportional to 267,912 and 364,850 is: 496,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,912 : 364,850 = 364,850 : x
  2. Step 2: Convert to fraction form
    267,912/364,850 = 364,850/x
  3. Step 3: Cross multiply
    267,912x = 364,850 × 364,850
  4. Step 4: Simplify right side
    267,912x = 133,115,522,500
  5. Step 5: Solve for x
    x = 133,115,522,500/267,912
  6. Step 6: Final answer
    x = 496,862.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.