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Finding the Third Proportional to 324,496.13 and 704,965.78

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Solution

The third proportional to 324,496.13 and 704,965.78 is: 1,531,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,496.13 : 704,965.78 = 704,965.78 : x
  2. Step 2: Convert to fraction form
    324,496.13/704,965.78 = 704,965.78/x
  3. Step 3: Cross multiply
    324,496.13x = 704,965.78 × 704,965.78
  4. Step 4: Simplify right side
    324,496.13x = 496,976,752,733.42
  5. Step 5: Solve for x
    x = 496,976,752,733.42/324,496.13
  6. Step 6: Final answer
    x = 1,531,533.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.