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Finding the Third Proportional to 260,901 and 395,847

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Solution

The third proportional to 260,901 and 395,847 is: 600,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,901 : 395,847 = 395,847 : x
  2. Step 2: Convert to fraction form
    260,901/395,847 = 395,847/x
  3. Step 3: Cross multiply
    260,901x = 395,847 × 395,847
  4. Step 4: Simplify right side
    260,901x = 156,694,847,409
  5. Step 5: Solve for x
    x = 156,694,847,409/260,901
  6. Step 6: Final answer
    x = 600,591.21

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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.