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Finding the Third Proportional to 327,222 and 693,990

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Solution

The third proportional to 327,222 and 693,990 is: 1,471,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,222 : 693,990 = 693,990 : x
  2. Step 2: Convert to fraction form
    327,222/693,990 = 693,990/x
  3. Step 3: Cross multiply
    327,222x = 693,990 × 693,990
  4. Step 4: Simplify right side
    327,222x = 481,622,120,100
  5. Step 5: Solve for x
    x = 481,622,120,100/327,222
  6. Step 6: Final answer
    x = 1,471,851.28

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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.