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Finding the Third Proportional to 325,982 and 672,268

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Solution

The third proportional to 325,982 and 672,268 is: 1,386,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,982 : 672,268 = 672,268 : x
  2. Step 2: Convert to fraction form
    325,982/672,268 = 672,268/x
  3. Step 3: Cross multiply
    325,982x = 672,268 × 672,268
  4. Step 4: Simplify right side
    325,982x = 451,944,263,824
  5. Step 5: Solve for x
    x = 451,944,263,824/325,982
  6. Step 6: Final answer
    x = 1,386,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.