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Finding the Third Proportional to 327,604.78 and 700,752.09

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Solution

The third proportional to 327,604.78 and 700,752.09 is: 1,498,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,604.78 : 700,752.09 = 700,752.09 : x
  2. Step 2: Convert to fraction form
    327,604.78/700,752.09 = 700,752.09/x
  3. Step 3: Cross multiply
    327,604.78x = 700,752.09 × 700,752.09
  4. Step 4: Simplify right side
    327,604.78x = 491,053,496,895.01
  5. Step 5: Solve for x
    x = 491,053,496,895.01/327,604.78
  6. Step 6: Final answer
    x = 1,498,920.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.