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Finding the Third Proportional to 259,059.75 and 560,253.50

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Solution

The third proportional to 259,059.75 and 560,253.50 is: 1,211,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,059.75 : 560,253.50 = 560,253.50 : x
  2. Step 2: Convert to fraction form
    259,059.75/560,253.50 = 560,253.50/x
  3. Step 3: Cross multiply
    259,059.75x = 560,253.50 × 560,253.50
  4. Step 4: Simplify right side
    259,059.75x = 313,883,984,262.25
  5. Step 5: Solve for x
    x = 313,883,984,262.25/259,059.75
  6. Step 6: Final answer
    x = 1,211,627.76

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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.