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Finding the Third Proportional to 206,963 and 454,567

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Solution

The third proportional to 206,963 and 454,567 is: 998,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,963 : 454,567 = 454,567 : x
  2. Step 2: Convert to fraction form
    206,963/454,567 = 454,567/x
  3. Step 3: Cross multiply
    206,963x = 454,567 × 454,567
  4. Step 4: Simplify right side
    206,963x = 206,631,157,489
  5. Step 5: Solve for x
    x = 206,631,157,489/206,963
  6. Step 6: Final answer
    x = 998,396.61

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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.