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Finding the Third Proportional to 260,408,736 and 354,632,256

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Solution

The third proportional to 260,408,736 and 354,632,256 is: 482,948,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408,736 : 354,632,256 = 354,632,256 : x
  2. Step 2: Convert to fraction form
    260,408,736/354,632,256 = 354,632,256/x
  3. Step 3: Cross multiply
    260,408,736x = 354,632,256 × 354,632,256
  4. Step 4: Simplify right side
    260,408,736x = 125,764,036,995,649,536
  5. Step 5: Solve for x
    x = 125,764,036,995,649,536/260,408,736
  6. Step 6: Final answer
    x = 482,948,609.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.