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Finding the Third Proportional to 347,067 and 703,794

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Solution

The third proportional to 347,067 and 703,794 is: 1,427,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,067 : 703,794 = 703,794 : x
  2. Step 2: Convert to fraction form
    347,067/703,794 = 703,794/x
  3. Step 3: Cross multiply
    347,067x = 703,794 × 703,794
  4. Step 4: Simplify right side
    347,067x = 495,325,994,436
  5. Step 5: Solve for x
    x = 495,325,994,436/347,067
  6. Step 6: Final answer
    x = 1,427,176.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.