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Finding the Third Proportional to 255,413.25 and 541,959.75

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Solution

The third proportional to 255,413.25 and 541,959.75 is: 1,149,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413.25 : 541,959.75 = 541,959.75 : x
  2. Step 2: Convert to fraction form
    255,413.25/541,959.75 = 541,959.75/x
  3. Step 3: Cross multiply
    255,413.25x = 541,959.75 × 541,959.75
  4. Step 4: Simplify right side
    255,413.25x = 293,720,370,620.06
  5. Step 5: Solve for x
    x = 293,720,370,620.06/255,413.25
  6. Step 6: Final answer
    x = 1,149,980.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.