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Finding the Third Proportional to 339,794 and 475,259

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Solution

The third proportional to 339,794 and 475,259 is: 664,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,794 : 475,259 = 475,259 : x
  2. Step 2: Convert to fraction form
    339,794/475,259 = 475,259/x
  3. Step 3: Cross multiply
    339,794x = 475,259 × 475,259
  4. Step 4: Simplify right side
    339,794x = 225,871,117,081
  5. Step 5: Solve for x
    x = 225,871,117,081/339,794
  6. Step 6: Final answer
    x = 664,729.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.