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Finding the Third Proportional to 204,690 and 442,671

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Solution

The third proportional to 204,690 and 442,671 is: 957,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,690 : 442,671 = 442,671 : x
  2. Step 2: Convert to fraction form
    204,690/442,671 = 442,671/x
  3. Step 3: Cross multiply
    204,690x = 442,671 × 442,671
  4. Step 4: Simplify right side
    204,690x = 195,957,614,241
  5. Step 5: Solve for x
    x = 195,957,614,241/204,690
  6. Step 6: Final answer
    x = 957,338.48

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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.