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Finding the Third Proportional to 275,905.50 and 593,910.75

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Solution

The third proportional to 275,905.50 and 593,910.75 is: 1,278,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,905.50 : 593,910.75 = 593,910.75 : x
  2. Step 2: Convert to fraction form
    275,905.50/593,910.75 = 593,910.75/x
  3. Step 3: Cross multiply
    275,905.50x = 593,910.75 × 593,910.75
  4. Step 4: Simplify right side
    275,905.50x = 352,729,978,965.56
  5. Step 5: Solve for x
    x = 352,729,978,965.56/275,905.50
  6. Step 6: Final answer
    x = 1,278,444.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.