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Finding the Third Proportional to 206,110 and 447,469

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Solution

The third proportional to 206,110 and 447,469 is: 971,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,110 : 447,469 = 447,469 : x
  2. Step 2: Convert to fraction form
    206,110/447,469 = 447,469/x
  3. Step 3: Cross multiply
    206,110x = 447,469 × 447,469
  4. Step 4: Simplify right side
    206,110x = 200,228,505,961
  5. Step 5: Solve for x
    x = 200,228,505,961/206,110
  6. Step 6: Final answer
    x = 971,464.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.