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Finding the Third Proportional to 206,451 and 454,814

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Solution

The third proportional to 206,451 and 454,814 is: 1,001,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,451 : 454,814 = 454,814 : x
  2. Step 2: Convert to fraction form
    206,451/454,814 = 454,814/x
  3. Step 3: Cross multiply
    206,451x = 454,814 × 454,814
  4. Step 4: Simplify right side
    206,451x = 206,855,774,596
  5. Step 5: Solve for x
    x = 206,855,774,596/206,451
  6. Step 6: Final answer
    x = 1,001,960.63

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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.