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Finding the Third Proportional to 395,250.75 and 591,792.75

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Solution

The third proportional to 395,250.75 and 591,792.75 is: 886,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,250.75 : 591,792.75 = 591,792.75 : x
  2. Step 2: Convert to fraction form
    395,250.75/591,792.75 = 591,792.75/x
  3. Step 3: Cross multiply
    395,250.75x = 591,792.75 × 591,792.75
  4. Step 4: Simplify right side
    395,250.75x = 350,218,658,952.56
  5. Step 5: Solve for x
    x = 350,218,658,952.56/395,250.75
  6. Step 6: Final answer
    x = 886,067.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.