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Finding the Third Proportional to 206,532 and 451,944

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Solution

The third proportional to 206,532 and 451,944 is: 988,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532 : 451,944 = 451,944 : x
  2. Step 2: Convert to fraction form
    206,532/451,944 = 451,944/x
  3. Step 3: Cross multiply
    206,532x = 451,944 × 451,944
  4. Step 4: Simplify right side
    206,532x = 204,253,379,136
  5. Step 5: Solve for x
    x = 204,253,379,136/206,532
  6. Step 6: Final answer
    x = 988,967.23

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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.