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Finding the Third Proportional to 206,472 and 454,851

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Solution

The third proportional to 206,472 and 454,851 is: 1,002,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472 : 454,851 = 454,851 : x
  2. Step 2: Convert to fraction form
    206,472/454,851 = 454,851/x
  3. Step 3: Cross multiply
    206,472x = 454,851 × 454,851
  4. Step 4: Simplify right side
    206,472x = 206,889,432,201
  5. Step 5: Solve for x
    x = 206,889,432,201/206,472
  6. Step 6: Final answer
    x = 1,002,021.74

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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.