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Finding the Third Proportional to 327,296 and 706,096

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Solution

The third proportional to 327,296 and 706,096 is: 1,523,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,296 : 706,096 = 706,096 : x
  2. Step 2: Convert to fraction form
    327,296/706,096 = 706,096/x
  3. Step 3: Cross multiply
    327,296x = 706,096 × 706,096
  4. Step 4: Simplify right side
    327,296x = 498,571,561,216
  5. Step 5: Solve for x
    x = 498,571,561,216/327,296
  6. Step 6: Final answer
    x = 1,523,304.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.