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Finding the Third Proportional to 247,449.94 and 542,193.75

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Solution

The third proportional to 247,449.94 and 542,193.75 is: 1,188,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,449.94 : 542,193.75 = 542,193.75 : x
  2. Step 2: Convert to fraction form
    247,449.94/542,193.75 = 542,193.75/x
  3. Step 3: Cross multiply
    247,449.94x = 542,193.75 × 542,193.75
  4. Step 4: Simplify right side
    247,449.94x = 293,974,062,539.06
  5. Step 5: Solve for x
    x = 293,974,062,539.06/247,449.94
  6. Step 6: Final answer
    x = 1,188,014.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.