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Finding the Third Proportional to 276,396 and 580,655.25

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Solution

The third proportional to 276,396 and 580,655.25 is: 1,219,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,396 : 580,655.25 = 580,655.25 : x
  2. Step 2: Convert to fraction form
    276,396/580,655.25 = 580,655.25/x
  3. Step 3: Cross multiply
    276,396x = 580,655.25 × 580,655.25
  4. Step 4: Simplify right side
    276,396x = 337,160,519,352.56
  5. Step 5: Solve for x
    x = 337,160,519,352.56/276,396
  6. Step 6: Final answer
    x = 1,219,845.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.