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Finding the Third Proportional to 276,757.50 and 586,422.75

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Solution

The third proportional to 276,757.50 and 586,422.75 is: 1,242,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,757.50 : 586,422.75 = 586,422.75 : x
  2. Step 2: Convert to fraction form
    276,757.50/586,422.75 = 586,422.75/x
  3. Step 3: Cross multiply
    276,757.50x = 586,422.75 × 586,422.75
  4. Step 4: Simplify right side
    276,757.50x = 343,891,641,717.56
  5. Step 5: Solve for x
    x = 343,891,641,717.56/276,757.50
  6. Step 6: Final answer
    x = 1,242,573.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.