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Finding the Third Proportional to 204,781 and 442,858

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Solution

The third proportional to 204,781 and 442,858 is: 957,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781 : 442,858 = 442,858 : x
  2. Step 2: Convert to fraction form
    204,781/442,858 = 442,858/x
  3. Step 3: Cross multiply
    204,781x = 442,858 × 442,858
  4. Step 4: Simplify right side
    204,781x = 196,123,208,164
  5. Step 5: Solve for x
    x = 196,123,208,164/204,781
  6. Step 6: Final answer
    x = 957,721.70

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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.