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Finding the Third Proportional to 394,575.75 and 850,722.75

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Solution

The third proportional to 394,575.75 and 850,722.75 is: 1,834,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,575.75 : 850,722.75 = 850,722.75 : x
  2. Step 2: Convert to fraction form
    394,575.75/850,722.75 = 850,722.75/x
  3. Step 3: Cross multiply
    394,575.75x = 850,722.75 × 850,722.75
  4. Step 4: Simplify right side
    394,575.75x = 723,729,197,367.56
  5. Step 5: Solve for x
    x = 723,729,197,367.56/394,575.75
  6. Step 6: Final answer
    x = 1,834,195.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.