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Finding the Third Proportional to 262,213.50 and 396,867

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Solution

The third proportional to 262,213.50 and 396,867 is: 600,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,213.50 : 396,867 = 396,867 : x
  2. Step 2: Convert to fraction form
    262,213.50/396,867 = 396,867/x
  3. Step 3: Cross multiply
    262,213.50x = 396,867 × 396,867
  4. Step 4: Simplify right side
    262,213.50x = 157,503,415,689
  5. Step 5: Solve for x
    x = 157,503,415,689/262,213.50
  6. Step 6: Final answer
    x = 600,668.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.