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Finding the Third Proportional to 339,367 and 731,186

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Solution

The third proportional to 339,367 and 731,186 is: 1,575,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,367 : 731,186 = 731,186 : x
  2. Step 2: Convert to fraction form
    339,367/731,186 = 731,186/x
  3. Step 3: Cross multiply
    339,367x = 731,186 × 731,186
  4. Step 4: Simplify right side
    339,367x = 534,632,966,596
  5. Step 5: Solve for x
    x = 534,632,966,596/339,367
  6. Step 6: Final answer
    x = 1,575,382.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.