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Finding the Third Proportional to 259,058.25 and 394,854.75

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Solution

The third proportional to 259,058.25 and 394,854.75 is: 601,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,058.25 : 394,854.75 = 394,854.75 : x
  2. Step 2: Convert to fraction form
    259,058.25/394,854.75 = 394,854.75/x
  3. Step 3: Cross multiply
    259,058.25x = 394,854.75 × 394,854.75
  4. Step 4: Simplify right side
    259,058.25x = 155,910,273,597.56
  5. Step 5: Solve for x
    x = 155,910,273,597.56/259,058.25
  6. Step 6: Final answer
    x = 601,834.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.