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Finding the Third Proportional to 438,876 and 655,443

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Solution

The third proportional to 438,876 and 655,443 is: 978,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,876 : 655,443 = 655,443 : x
  2. Step 2: Convert to fraction form
    438,876/655,443 = 655,443/x
  3. Step 3: Cross multiply
    438,876x = 655,443 × 655,443
  4. Step 4: Simplify right side
    438,876x = 429,605,526,249
  5. Step 5: Solve for x
    x = 429,605,526,249/438,876
  6. Step 6: Final answer
    x = 978,876.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.