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Finding the Third Proportional to 576,168.75 and 764,562.38

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Solution

The third proportional to 576,168.75 and 764,562.38 is: 1,014,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,168.75 : 764,562.38 = 764,562.38 : x
  2. Step 2: Convert to fraction form
    576,168.75/764,562.38 = 764,562.38/x
  3. Step 3: Cross multiply
    576,168.75x = 764,562.38 × 764,562.38
  4. Step 4: Simplify right side
    576,168.75x = 584,555,625,265.64
  5. Step 5: Solve for x
    x = 584,555,625,265.64/576,168.75
  6. Step 6: Final answer
    x = 1,014,556.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.