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Finding the Third Proportional to 204,503 and 444,979

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Solution

The third proportional to 204,503 and 444,979 is: 968,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,503 : 444,979 = 444,979 : x
  2. Step 2: Convert to fraction form
    204,503/444,979 = 444,979/x
  3. Step 3: Cross multiply
    204,503x = 444,979 × 444,979
  4. Step 4: Simplify right side
    204,503x = 198,006,310,441
  5. Step 5: Solve for x
    x = 198,006,310,441/204,503
  6. Step 6: Final answer
    x = 968,231.81

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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.