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Finding the Third Proportional to 204,438 and 440,122

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Solution

The third proportional to 204,438 and 440,122 is: 947,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,438 : 440,122 = 440,122 : x
  2. Step 2: Convert to fraction form
    204,438/440,122 = 440,122/x
  3. Step 3: Cross multiply
    204,438x = 440,122 × 440,122
  4. Step 4: Simplify right side
    204,438x = 193,707,374,884
  5. Step 5: Solve for x
    x = 193,707,374,884/204,438
  6. Step 6: Final answer
    x = 947,511.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.