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Finding the Third Proportional to 204,692 and 442,675

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Solution

The third proportional to 204,692 and 442,675 is: 957,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692 : 442,675 = 442,675 : x
  2. Step 2: Convert to fraction form
    204,692/442,675 = 442,675/x
  3. Step 3: Cross multiply
    204,692x = 442,675 × 442,675
  4. Step 4: Simplify right side
    204,692x = 195,961,155,625
  5. Step 5: Solve for x
    x = 195,961,155,625/204,692
  6. Step 6: Final answer
    x = 957,346.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.