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Finding the Third Proportional to 204,698 and 440,500

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Solution

The third proportional to 204,698 and 440,500 is: 947,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,698 : 440,500 = 440,500 : x
  2. Step 2: Convert to fraction form
    204,698/440,500 = 440,500/x
  3. Step 3: Cross multiply
    204,698x = 440,500 × 440,500
  4. Step 4: Simplify right side
    204,698x = 194,040,250,000
  5. Step 5: Solve for x
    x = 194,040,250,000/204,698
  6. Step 6: Final answer
    x = 947,934.27

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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.