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Finding the Third Proportional to 206,965 and 454,571

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Solution

The third proportional to 206,965 and 454,571 is: 998,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,965 : 454,571 = 454,571 : x
  2. Step 2: Convert to fraction form
    206,965/454,571 = 454,571/x
  3. Step 3: Cross multiply
    206,965x = 454,571 × 454,571
  4. Step 4: Simplify right side
    206,965x = 206,634,794,041
  5. Step 5: Solve for x
    x = 206,634,794,041/206,965
  6. Step 6: Final answer
    x = 998,404.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.