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Finding the Third Proportional to 206,022 and 451,404

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Solution

The third proportional to 206,022 and 451,404 is: 989,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,022 : 451,404 = 451,404 : x
  2. Step 2: Convert to fraction form
    206,022/451,404 = 451,404/x
  3. Step 3: Cross multiply
    206,022x = 451,404 × 451,404
  4. Step 4: Simplify right side
    206,022x = 203,765,571,216
  5. Step 5: Solve for x
    x = 203,765,571,216/206,022
  6. Step 6: Final answer
    x = 989,047.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.