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Finding the Third Proportional to 327,176 and 668,112

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Solution

The third proportional to 327,176 and 668,112 is: 1,364,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,176 : 668,112 = 668,112 : x
  2. Step 2: Convert to fraction form
    327,176/668,112 = 668,112/x
  3. Step 3: Cross multiply
    327,176x = 668,112 × 668,112
  4. Step 4: Simplify right side
    327,176x = 446,373,644,544
  5. Step 5: Solve for x
    x = 446,373,644,544/327,176
  6. Step 6: Final answer
    x = 1,364,322.70

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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.