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Finding the Third Proportional to 366,950.25 and 516,745.13

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Solution

The third proportional to 366,950.25 and 516,745.13 is: 727,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950.25 : 516,745.13 = 516,745.13 : x
  2. Step 2: Convert to fraction form
    366,950.25/516,745.13 = 516,745.13/x
  3. Step 3: Cross multiply
    366,950.25x = 516,745.13 × 516,745.13
  4. Step 4: Simplify right side
    366,950.25x = 267,025,524,211.27
  5. Step 5: Solve for x
    x = 267,025,524,211.27/366,950.25
  6. Step 6: Final answer
    x = 727,688.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.