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Finding the Third Proportional to 267,862 and 363,789

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Solution

The third proportional to 267,862 and 363,789 is: 494,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,862 : 363,789 = 363,789 : x
  2. Step 2: Convert to fraction form
    267,862/363,789 = 363,789/x
  3. Step 3: Cross multiply
    267,862x = 363,789 × 363,789
  4. Step 4: Simplify right side
    267,862x = 132,342,436,521
  5. Step 5: Solve for x
    x = 132,342,436,521/267,862
  6. Step 6: Final answer
    x = 494,069.47

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