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Finding the Third Proportional to 259,789.50 and 539,995.50

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Solution

The third proportional to 259,789.50 and 539,995.50 is: 1,122,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,789.50 : 539,995.50 = 539,995.50 : x
  2. Step 2: Convert to fraction form
    259,789.50/539,995.50 = 539,995.50/x
  3. Step 3: Cross multiply
    259,789.50x = 539,995.50 × 539,995.50
  4. Step 4: Simplify right side
    259,789.50x = 291,595,140,020.25
  5. Step 5: Solve for x
    x = 291,595,140,020.25/259,789.50
  6. Step 6: Final answer
    x = 1,122,428.50

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