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Finding the Third Proportional to 267,568 and 413,112

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Solution

The third proportional to 267,568 and 413,112 is: 637,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,568 : 413,112 = 413,112 : x
  2. Step 2: Convert to fraction form
    267,568/413,112 = 413,112/x
  3. Step 3: Cross multiply
    267,568x = 413,112 × 413,112
  4. Step 4: Simplify right side
    267,568x = 170,661,524,544
  5. Step 5: Solve for x
    x = 170,661,524,544/267,568
  6. Step 6: Final answer
    x = 637,824.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.