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Finding the Third Proportional to 260,408,738 and 354,632,259

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Solution

The third proportional to 260,408,738 and 354,632,259 is: 482,948,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408,738 : 354,632,259 = 354,632,259 : x
  2. Step 2: Convert to fraction form
    260,408,738/354,632,259 = 354,632,259/x
  3. Step 3: Cross multiply
    260,408,738x = 354,632,259 × 354,632,259
  4. Step 4: Simplify right side
    260,408,738x = 125,764,039,123,443,088
  5. Step 5: Solve for x
    x = 125,764,039,123,443,088/260,408,738
  6. Step 6: Final answer
    x = 482,948,614.13

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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.