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Finding the Third Proportional to 204,722 and 442,976

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Solution

The third proportional to 204,722 and 442,976 is: 958,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,722 : 442,976 = 442,976 : x
  2. Step 2: Convert to fraction form
    204,722/442,976 = 442,976/x
  3. Step 3: Cross multiply
    204,722x = 442,976 × 442,976
  4. Step 4: Simplify right side
    204,722x = 196,227,736,576
  5. Step 5: Solve for x
    x = 196,227,736,576/204,722
  6. Step 6: Final answer
    x = 958,508.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.