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Finding the Third Proportional to 325,896 and 694,848

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Solution

The third proportional to 325,896 and 694,848 is: 1,481,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,896 : 694,848 = 694,848 : x
  2. Step 2: Convert to fraction form
    325,896/694,848 = 694,848/x
  3. Step 3: Cross multiply
    325,896x = 694,848 × 694,848
  4. Step 4: Simplify right side
    325,896x = 482,813,743,104
  5. Step 5: Solve for x
    x = 482,813,743,104/325,896
  6. Step 6: Final answer
    x = 1,481,496.38

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Why These Related Problems?

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