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Finding the Third Proportional to 184,561 and 396,589

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Solution

The third proportional to 184,561 and 396,589 is: 852,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561 : 396,589 = 396,589 : x
  2. Step 2: Convert to fraction form
    184,561/396,589 = 396,589/x
  3. Step 3: Cross multiply
    184,561x = 396,589 × 396,589
  4. Step 4: Simplify right side
    184,561x = 157,282,834,921
  5. Step 5: Solve for x
    x = 157,282,834,921/184,561
  6. Step 6: Final answer
    x = 852,199.73

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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.