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Finding the Third Proportional to 268,564 and 363,451

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Solution

The third proportional to 268,564 and 363,451 is: 491,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564 : 363,451 = 363,451 : x
  2. Step 2: Convert to fraction form
    268,564/363,451 = 363,451/x
  3. Step 3: Cross multiply
    268,564x = 363,451 × 363,451
  4. Step 4: Simplify right side
    268,564x = 132,096,629,401
  5. Step 5: Solve for x
    x = 132,096,629,401/268,564
  6. Step 6: Final answer
    x = 491,862.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.