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Finding the Third Proportional to 204,676 and 440,456

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Solution

The third proportional to 204,676 and 440,456 is: 947,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,676 : 440,456 = 440,456 : x
  2. Step 2: Convert to fraction form
    204,676/440,456 = 440,456/x
  3. Step 3: Cross multiply
    204,676x = 440,456 × 440,456
  4. Step 4: Simplify right side
    204,676x = 194,001,487,936
  5. Step 5: Solve for x
    x = 194,001,487,936/204,676
  6. Step 6: Final answer
    x = 947,846.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.