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Finding the Third Proportional to 184,923 and 412,857

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Solution

The third proportional to 184,923 and 412,857 is: 921,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,923 : 412,857 = 412,857 : x
  2. Step 2: Convert to fraction form
    184,923/412,857 = 412,857/x
  3. Step 3: Cross multiply
    184,923x = 412,857 × 412,857
  4. Step 4: Simplify right side
    184,923x = 170,450,902,449
  5. Step 5: Solve for x
    x = 170,450,902,449/184,923
  6. Step 6: Final answer
    x = 921,739.87

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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.