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Finding the Third Proportional to 252,227 and 535,198

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Solution

The third proportional to 252,227 and 535,198 is: 1,135,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,227 : 535,198 = 535,198 : x
  2. Step 2: Convert to fraction form
    252,227/535,198 = 535,198/x
  3. Step 3: Cross multiply
    252,227x = 535,198 × 535,198
  4. Step 4: Simplify right side
    252,227x = 286,436,899,204
  5. Step 5: Solve for x
    x = 286,436,899,204/252,227
  6. Step 6: Final answer
    x = 1,135,631.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.