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Finding the Third Proportional to 259,743 and 398,975

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Solution

The third proportional to 259,743 and 398,975 is: 612,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,743 : 398,975 = 398,975 : x
  2. Step 2: Convert to fraction form
    259,743/398,975 = 398,975/x
  3. Step 3: Cross multiply
    259,743x = 398,975 × 398,975
  4. Step 4: Simplify right side
    259,743x = 159,181,050,625
  5. Step 5: Solve for x
    x = 159,181,050,625/259,743
  6. Step 6: Final answer
    x = 612,840.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.