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Finding the Third Proportional to 339,811.50 and 731,694.75

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Solution

The third proportional to 339,811.50 and 731,694.75 is: 1,575,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,811.50 : 731,694.75 = 731,694.75 : x
  2. Step 2: Convert to fraction form
    339,811.50/731,694.75 = 731,694.75/x
  3. Step 3: Cross multiply
    339,811.50x = 731,694.75 × 731,694.75
  4. Step 4: Simplify right side
    339,811.50x = 535,377,207,177.56
  5. Step 5: Solve for x
    x = 535,377,207,177.56/339,811.50
  6. Step 6: Final answer
    x = 1,575,512.33

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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.