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Finding the Third Proportional to 324,189 and 706,860

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Solution

The third proportional to 324,189 and 706,860 is: 1,541,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,189 : 706,860 = 706,860 : x
  2. Step 2: Convert to fraction form
    324,189/706,860 = 706,860/x
  3. Step 3: Cross multiply
    324,189x = 706,860 × 706,860
  4. Step 4: Simplify right side
    324,189x = 499,651,059,600
  5. Step 5: Solve for x
    x = 499,651,059,600/324,189
  6. Step 6: Final answer
    x = 1,541,233.85

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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.