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Finding the Third Proportional to 394,503.75 and 856,257.75

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Solution

The third proportional to 394,503.75 and 856,257.75 is: 1,858,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,503.75 : 856,257.75 = 856,257.75 : x
  2. Step 2: Convert to fraction form
    394,503.75/856,257.75 = 856,257.75/x
  3. Step 3: Cross multiply
    394,503.75x = 856,257.75 × 856,257.75
  4. Step 4: Simplify right side
    394,503.75x = 733,177,334,435.06
  5. Step 5: Solve for x
    x = 733,177,334,435.06/394,503.75
  6. Step 6: Final answer
    x = 1,858,480.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.