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Finding the Third Proportional to 514,404 and 764,154.75

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Solution

The third proportional to 514,404 and 764,154.75 is: 1,135,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,404 : 764,154.75 = 764,154.75 : x
  2. Step 2: Convert to fraction form
    514,404/764,154.75 = 764,154.75/x
  3. Step 3: Cross multiply
    514,404x = 764,154.75 × 764,154.75
  4. Step 4: Simplify right side
    514,404x = 583,932,481,947.56
  5. Step 5: Solve for x
    x = 583,932,481,947.56/514,404
  6. Step 6: Final answer
    x = 1,135,163.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.