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Finding the Third Proportional to 324,115.88 and 700,163.44

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Solution

The third proportional to 324,115.88 and 700,163.44 is: 1,512,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,115.88 : 700,163.44 = 700,163.44 : x
  2. Step 2: Convert to fraction form
    324,115.88/700,163.44 = 700,163.44/x
  3. Step 3: Cross multiply
    324,115.88x = 700,163.44 × 700,163.44
  4. Step 4: Simplify right side
    324,115.88x = 490,228,839,211.82
  5. Step 5: Solve for x
    x = 490,228,839,211.82/324,115.88
  6. Step 6: Final answer
    x = 1,512,511.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.