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Finding the Third Proportional to 367,002 and 806,175

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Solution

The third proportional to 367,002 and 806,175 is: 1,770,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,002 : 806,175 = 806,175 : x
  2. Step 2: Convert to fraction form
    367,002/806,175 = 806,175/x
  3. Step 3: Cross multiply
    367,002x = 806,175 × 806,175
  4. Step 4: Simplify right side
    367,002x = 649,918,130,625
  5. Step 5: Solve for x
    x = 649,918,130,625/367,002
  6. Step 6: Final answer
    x = 1,770,884.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.