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Finding the Third Proportional to 267,920 and 364,862

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Solution

The third proportional to 267,920 and 364,862 is: 496,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,920 : 364,862 = 364,862 : x
  2. Step 2: Convert to fraction form
    267,920/364,862 = 364,862/x
  3. Step 3: Cross multiply
    267,920x = 364,862 × 364,862
  4. Step 4: Simplify right side
    267,920x = 133,124,279,044
  5. Step 5: Solve for x
    x = 133,124,279,044/267,920
  6. Step 6: Final answer
    x = 496,880.71

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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.