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Finding the Third Proportional to 327,224 and 693,994

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Solution

The third proportional to 327,224 and 693,994 is: 1,471,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,224 : 693,994 = 693,994 : x
  2. Step 2: Convert to fraction form
    327,224/693,994 = 693,994/x
  3. Step 3: Cross multiply
    327,224x = 693,994 × 693,994
  4. Step 4: Simplify right side
    327,224x = 481,627,672,036
  5. Step 5: Solve for x
    x = 481,627,672,036/327,224
  6. Step 6: Final answer
    x = 1,471,859.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.