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Finding the Third Proportional to 206,962 and 443,448

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Solution

The third proportional to 206,962 and 443,448 is: 950,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962 : 443,448 = 443,448 : x
  2. Step 2: Convert to fraction form
    206,962/443,448 = 443,448/x
  3. Step 3: Cross multiply
    206,962x = 443,448 × 443,448
  4. Step 4: Simplify right side
    206,962x = 196,646,128,704
  5. Step 5: Solve for x
    x = 196,646,128,704/206,962
  6. Step 6: Final answer
    x = 950,155.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.