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Finding the Third Proportional to 514,453.15 and 764,217.44

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Solution

The third proportional to 514,453.15 and 764,217.44 is: 1,135,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,453.15 : 764,217.44 = 764,217.44 : x
  2. Step 2: Convert to fraction form
    514,453.15/764,217.44 = 764,217.44/x
  3. Step 3: Cross multiply
    514,453.15x = 764,217.44 × 764,217.44
  4. Step 4: Simplify right side
    514,453.15x = 584,028,294,764.28
  5. Step 5: Solve for x
    x = 584,028,294,764.28/514,453.15
  6. Step 6: Final answer
    x = 1,135,240.98

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Why These Related Problems?

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