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Finding the Third Proportional to 206,450 and 454,809

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Solution

The third proportional to 206,450 and 454,809 is: 1,001,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,450 : 454,809 = 454,809 : x
  2. Step 2: Convert to fraction form
    206,450/454,809 = 454,809/x
  3. Step 3: Cross multiply
    206,450x = 454,809 × 454,809
  4. Step 4: Simplify right side
    206,450x = 206,851,226,481
  5. Step 5: Solve for x
    x = 206,851,226,481/206,450
  6. Step 6: Final answer
    x = 1,001,943.46

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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.