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Finding the Third Proportional to 259,188 and 539,062

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Solution

The third proportional to 259,188 and 539,062 is: 1,121,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,188 : 539,062 = 539,062 : x
  2. Step 2: Convert to fraction form
    259,188/539,062 = 539,062/x
  3. Step 3: Cross multiply
    259,188x = 539,062 × 539,062
  4. Step 4: Simplify right side
    259,188x = 290,587,839,844
  5. Step 5: Solve for x
    x = 290,587,839,844/259,188
  6. Step 6: Final answer
    x = 1,121,146.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.