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Finding the Third Proportional to 591,961.50 and 1,278,510.75

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Solution

The third proportional to 591,961.50 and 1,278,510.75 is: 2,761,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,961.50 : 1,278,510.75 = 1,278,510.75 : x
  2. Step 2: Convert to fraction form
    591,961.50/1,278,510.75 = 1,278,510.75/x
  3. Step 3: Cross multiply
    591,961.50x = 1,278,510.75 × 1,278,510.75
  4. Step 4: Simplify right side
    591,961.50x = 1,634,589,737,865.56
  5. Step 5: Solve for x
    x = 1,634,589,737,865.56/591,961.50
  6. Step 6: Final answer
    x = 2,761,310.89

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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.