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Finding the Third Proportional to 204,418 and 444,836

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Solution

The third proportional to 204,418 and 444,836 is: 968,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,418 : 444,836 = 444,836 : x
  2. Step 2: Convert to fraction form
    204,418/444,836 = 444,836/x
  3. Step 3: Cross multiply
    204,418x = 444,836 × 444,836
  4. Step 4: Simplify right side
    204,418x = 197,879,066,896
  5. Step 5: Solve for x
    x = 197,879,066,896/204,418
  6. Step 6: Final answer
    x = 968,011.95

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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.