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Finding the Third Proportional to 349,879 and 763,067

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Solution

The third proportional to 349,879 and 763,067 is: 1,664,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,879 : 763,067 = 763,067 : x
  2. Step 2: Convert to fraction form
    349,879/763,067 = 763,067/x
  3. Step 3: Cross multiply
    349,879x = 763,067 × 763,067
  4. Step 4: Simplify right side
    349,879x = 582,271,246,489
  5. Step 5: Solve for x
    x = 582,271,246,489/349,879
  6. Step 6: Final answer
    x = 1,664,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.