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Finding the Third Proportional to 260,676 and 396,038

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Solution

The third proportional to 260,676 and 396,038 is: 601,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,676 : 396,038 = 396,038 : x
  2. Step 2: Convert to fraction form
    260,676/396,038 = 396,038/x
  3. Step 3: Cross multiply
    260,676x = 396,038 × 396,038
  4. Step 4: Simplify right side
    260,676x = 156,846,097,444
  5. Step 5: Solve for x
    x = 156,846,097,444/260,676
  6. Step 6: Final answer
    x = 601,689.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.