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Finding the Third Proportional to 206,491.50 and 457,201.69

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Solution

The third proportional to 206,491.50 and 457,201.69 is: 1,012,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,491.50 : 457,201.69 = 457,201.69 : x
  2. Step 2: Convert to fraction form
    206,491.50/457,201.69 = 457,201.69/x
  3. Step 3: Cross multiply
    206,491.50x = 457,201.69 × 457,201.69
  4. Step 4: Simplify right side
    206,491.50x = 209,033,383,052.85
  5. Step 5: Solve for x
    x = 209,033,383,052.85/206,491.50
  6. Step 6: Final answer
    x = 1,012,309.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.