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Finding the Third Proportional to 206,560 and 451,024

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Solution

The third proportional to 206,560 and 451,024 is: 984,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,560 : 451,024 = 451,024 : x
  2. Step 2: Convert to fraction form
    206,560/451,024 = 451,024/x
  3. Step 3: Cross multiply
    206,560x = 451,024 × 451,024
  4. Step 4: Simplify right side
    206,560x = 203,422,648,576
  5. Step 5: Solve for x
    x = 203,422,648,576/206,560
  6. Step 6: Final answer
    x = 984,811.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.