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Finding the Third Proportional to 206,415 and 454,731

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Solution

The third proportional to 206,415 and 454,731 is: 1,001,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415 : 454,731 = 454,731 : x
  2. Step 2: Convert to fraction form
    206,415/454,731 = 454,731/x
  3. Step 3: Cross multiply
    206,415x = 454,731 × 454,731
  4. Step 4: Simplify right side
    206,415x = 206,780,282,361
  5. Step 5: Solve for x
    x = 206,780,282,361/206,415
  6. Step 6: Final answer
    x = 1,001,769.65

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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.