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Finding the Third Proportional to 327,128 and 705,812

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Solution

The third proportional to 327,128 and 705,812 is: 1,522,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,128 : 705,812 = 705,812 : x
  2. Step 2: Convert to fraction form
    327,128/705,812 = 705,812/x
  3. Step 3: Cross multiply
    327,128x = 705,812 × 705,812
  4. Step 4: Simplify right side
    327,128x = 498,170,579,344
  5. Step 5: Solve for x
    x = 498,170,579,344/327,128
  6. Step 6: Final answer
    x = 1,522,861.32

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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.