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Finding the Third Proportional to 192,591 and 429,439

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Solution

The third proportional to 192,591 and 429,439 is: 957,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,591 : 429,439 = 429,439 : x
  2. Step 2: Convert to fraction form
    192,591/429,439 = 429,439/x
  3. Step 3: Cross multiply
    192,591x = 429,439 × 429,439
  4. Step 4: Simplify right side
    192,591x = 184,417,854,721
  5. Step 5: Solve for x
    x = 184,417,854,721/192,591
  6. Step 6: Final answer
    x = 957,562.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.