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Finding the Third Proportional to 184,563 and 396,593

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Solution

The third proportional to 184,563 and 396,593 is: 852,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,563 : 396,593 = 396,593 : x
  2. Step 2: Convert to fraction form
    184,563/396,593 = 396,593/x
  3. Step 3: Cross multiply
    184,563x = 396,593 × 396,593
  4. Step 4: Simplify right side
    184,563x = 157,286,007,649
  5. Step 5: Solve for x
    x = 157,286,007,649/184,563
  6. Step 6: Final answer
    x = 852,207.69

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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.