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Finding the Third Proportional to 267,929 and 364,863

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Solution

The third proportional to 267,929 and 364,863 is: 496,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,929 : 364,863 = 364,863 : x
  2. Step 2: Convert to fraction form
    267,929/364,863 = 364,863/x
  3. Step 3: Cross multiply
    267,929x = 364,863 × 364,863
  4. Step 4: Simplify right side
    267,929x = 133,125,008,769
  5. Step 5: Solve for x
    x = 133,125,008,769/267,929
  6. Step 6: Final answer
    x = 496,866.74

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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.