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Finding the Third Proportional to 327,150 and 706,005

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Solution

The third proportional to 327,150 and 706,005 is: 1,523,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,150 : 706,005 = 706,005 : x
  2. Step 2: Convert to fraction form
    327,150/706,005 = 706,005/x
  3. Step 3: Cross multiply
    327,150x = 706,005 × 706,005
  4. Step 4: Simplify right side
    327,150x = 498,443,060,025
  5. Step 5: Solve for x
    x = 498,443,060,025/327,150
  6. Step 6: Final answer
    x = 1,523,591.81

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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.