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Finding the Third Proportional to 225,027 and 531,198

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Solution

The third proportional to 225,027 and 531,198 is: 1,253,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,027 : 531,198 = 531,198 : x
  2. Step 2: Convert to fraction form
    225,027/531,198 = 531,198/x
  3. Step 3: Cross multiply
    225,027x = 531,198 × 531,198
  4. Step 4: Simplify right side
    225,027x = 282,171,315,204
  5. Step 5: Solve for x
    x = 282,171,315,204/225,027
  6. Step 6: Final answer
    x = 1,253,944.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.