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Finding the Third Proportional to 204,707 and 440,517

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Solution

The third proportional to 204,707 and 440,517 is: 947,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,707 : 440,517 = 440,517 : x
  2. Step 2: Convert to fraction form
    204,707/440,517 = 440,517/x
  3. Step 3: Cross multiply
    204,707x = 440,517 × 440,517
  4. Step 4: Simplify right side
    204,707x = 194,055,227,289
  5. Step 5: Solve for x
    x = 194,055,227,289/204,707
  6. Step 6: Final answer
    x = 947,965.76

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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.