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Finding the Third Proportional to 367,002 and 516,823

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Solution

The third proportional to 367,002 and 516,823 is: 727,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,002 : 516,823 = 516,823 : x
  2. Step 2: Convert to fraction form
    367,002/516,823 = 516,823/x
  3. Step 3: Cross multiply
    367,002x = 516,823 × 516,823
  4. Step 4: Simplify right side
    367,002x = 267,106,013,329
  5. Step 5: Solve for x
    x = 267,106,013,329/367,002
  6. Step 6: Final answer
    x = 727,805.33

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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.