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Finding the Third Proportional to 263,326.50 and 394,413.75

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Solution

The third proportional to 263,326.50 and 394,413.75 is: 590,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,326.50 : 394,413.75 = 394,413.75 : x
  2. Step 2: Convert to fraction form
    263,326.50/394,413.75 = 394,413.75/x
  3. Step 3: Cross multiply
    263,326.50x = 394,413.75 × 394,413.75
  4. Step 4: Simplify right side
    263,326.50x = 155,562,206,189.06
  5. Step 5: Solve for x
    x = 155,562,206,189.06/263,326.50
  6. Step 6: Final answer
    x = 590,757.88

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