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Finding the Third Proportional to 327,168 and 668,096

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Solution

The third proportional to 327,168 and 668,096 is: 1,364,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,168 : 668,096 = 668,096 : x
  2. Step 2: Convert to fraction form
    327,168/668,096 = 668,096/x
  3. Step 3: Cross multiply
    327,168x = 668,096 × 668,096
  4. Step 4: Simplify right side
    327,168x = 446,352,265,216
  5. Step 5: Solve for x
    x = 446,352,265,216/327,168
  6. Step 6: Final answer
    x = 1,364,290.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.