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Finding the Third Proportional to 327,170 and 705,892

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Solution

The third proportional to 327,170 and 705,892 is: 1,523,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,170 : 705,892 = 705,892 : x
  2. Step 2: Convert to fraction form
    327,170/705,892 = 705,892/x
  3. Step 3: Cross multiply
    327,170x = 705,892 × 705,892
  4. Step 4: Simplify right side
    327,170x = 498,283,515,664
  5. Step 5: Solve for x
    x = 498,283,515,664/327,170
  6. Step 6: Final answer
    x = 1,523,011.02

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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.