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Finding the Third Proportional to 191,932 and 413,023

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Solution

The third proportional to 191,932 and 413,023 is: 888,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,932 : 413,023 = 413,023 : x
  2. Step 2: Convert to fraction form
    191,932/413,023 = 413,023/x
  3. Step 3: Cross multiply
    191,932x = 413,023 × 413,023
  4. Step 4: Simplify right side
    191,932x = 170,587,998,529
  5. Step 5: Solve for x
    x = 170,587,998,529/191,932
  6. Step 6: Final answer
    x = 888,793.94

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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.