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Finding the Third Proportional to 250,797.38 and 542,499.75

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Solution

The third proportional to 250,797.38 and 542,499.75 is: 1,173,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,797.38 : 542,499.75 = 542,499.75 : x
  2. Step 2: Convert to fraction form
    250,797.38/542,499.75 = 542,499.75/x
  3. Step 3: Cross multiply
    250,797.38x = 542,499.75 × 542,499.75
  4. Step 4: Simplify right side
    250,797.38x = 294,305,978,750.06
  5. Step 5: Solve for x
    x = 294,305,978,750.06/250,797.38
  6. Step 6: Final answer
    x = 1,173,481.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.