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Finding the Third Proportional to 324,191 and 706,864

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Solution

The third proportional to 324,191 and 706,864 is: 1,541,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,191 : 706,864 = 706,864 : x
  2. Step 2: Convert to fraction form
    324,191/706,864 = 706,864/x
  3. Step 3: Cross multiply
    324,191x = 706,864 × 706,864
  4. Step 4: Simplify right side
    324,191x = 499,656,714,496
  5. Step 5: Solve for x
    x = 499,656,714,496/324,191
  6. Step 6: Final answer
    x = 1,541,241.78

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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.