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Finding the Third Proportional to 206,469.56 and 454,847.06

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Solution

The third proportional to 206,469.56 and 454,847.06 is: 1,002,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.56 : 454,847.06 = 454,847.06 : x
  2. Step 2: Convert to fraction form
    206,469.56/454,847.06 = 454,847.06/x
  3. Step 3: Cross multiply
    206,469.56x = 454,847.06 × 454,847.06
  4. Step 4: Simplify right side
    206,469.56x = 206,885,850,264.88
  5. Step 5: Solve for x
    x = 206,885,850,264.88/206,469.56
  6. Step 6: Final answer
    x = 1,002,016.22

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Why These Related Problems?

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