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Finding the Third Proportional to 267,927 and 364,860

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Solution

The third proportional to 267,927 and 364,860 is: 496,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,927 : 364,860 = 364,860 : x
  2. Step 2: Convert to fraction form
    267,927/364,860 = 364,860/x
  3. Step 3: Cross multiply
    267,927x = 364,860 × 364,860
  4. Step 4: Simplify right side
    267,927x = 133,122,819,600
  5. Step 5: Solve for x
    x = 133,122,819,600/267,927
  6. Step 6: Final answer
    x = 496,862.28

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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.