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Finding the Third Proportional to 325,904 and 694,864

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Solution

The third proportional to 325,904 and 694,864 is: 1,481,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,904 : 694,864 = 694,864 : x
  2. Step 2: Convert to fraction form
    325,904/694,864 = 694,864/x
  3. Step 3: Cross multiply
    325,904x = 694,864 × 694,864
  4. Step 4: Simplify right side
    325,904x = 482,835,978,496
  5. Step 5: Solve for x
    x = 482,835,978,496/325,904
  6. Step 6: Final answer
    x = 1,481,528.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.