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Finding the Third Proportional to 206,528 and 451,936

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Solution

The third proportional to 206,528 and 451,936 is: 988,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,528 : 451,936 = 451,936 : x
  2. Step 2: Convert to fraction form
    206,528/451,936 = 451,936/x
  3. Step 3: Cross multiply
    206,528x = 451,936 × 451,936
  4. Step 4: Simplify right side
    206,528x = 204,246,148,096
  5. Step 5: Solve for x
    x = 204,246,148,096/206,528
  6. Step 6: Final answer
    x = 988,951.37

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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.