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Finding the Third Proportional to 204,488 and 444,976

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Solution

The third proportional to 204,488 and 444,976 is: 968,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,488 : 444,976 = 444,976 : x
  2. Step 2: Convert to fraction form
    204,488/444,976 = 444,976/x
  3. Step 3: Cross multiply
    204,488x = 444,976 × 444,976
  4. Step 4: Simplify right side
    204,488x = 198,003,640,576
  5. Step 5: Solve for x
    x = 198,003,640,576/204,488
  6. Step 6: Final answer
    x = 968,289.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.