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Finding the Third Proportional to 366,983 and 516,799

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Solution

The third proportional to 366,983 and 516,799 is: 727,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,983 : 516,799 = 516,799 : x
  2. Step 2: Convert to fraction form
    366,983/516,799 = 516,799/x
  3. Step 3: Cross multiply
    366,983x = 516,799 × 516,799
  4. Step 4: Simplify right side
    366,983x = 267,081,206,401
  5. Step 5: Solve for x
    x = 267,081,206,401/366,983
  6. Step 6: Final answer
    x = 727,775.42

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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.