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Finding the Third Proportional to 204,501 and 444,975

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Solution

The third proportional to 204,501 and 444,975 is: 968,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,501 : 444,975 = 444,975 : x
  2. Step 2: Convert to fraction form
    204,501/444,975 = 444,975/x
  3. Step 3: Cross multiply
    204,501x = 444,975 × 444,975
  4. Step 4: Simplify right side
    204,501x = 198,002,750,625
  5. Step 5: Solve for x
    x = 198,002,750,625/204,501
  6. Step 6: Final answer
    x = 968,223.87

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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.