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Finding the Third Proportional to 191,934 and 413,027

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Solution

The third proportional to 191,934 and 413,027 is: 888,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,934 : 413,027 = 413,027 : x
  2. Step 2: Convert to fraction form
    191,934/413,027 = 413,027/x
  3. Step 3: Cross multiply
    191,934x = 413,027 × 413,027
  4. Step 4: Simplify right side
    191,934x = 170,591,302,729
  5. Step 5: Solve for x
    x = 170,591,302,729/191,934
  6. Step 6: Final answer
    x = 888,801.89

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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.