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Finding the Third Proportional to 367,065 and 516,916

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Solution

The third proportional to 367,065 and 516,916 is: 727,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065 : 516,916 = 516,916 : x
  2. Step 2: Convert to fraction form
    367,065/516,916 = 516,916/x
  3. Step 3: Cross multiply
    367,065x = 516,916 × 516,916
  4. Step 4: Simplify right side
    367,065x = 267,202,151,056
  5. Step 5: Solve for x
    x = 267,202,151,056/367,065
  6. Step 6: Final answer
    x = 727,942.33

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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.