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Finding the Third Proportional to 260,408,740 and 354,632,262

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Solution

The third proportional to 260,408,740 and 354,632,262 is: 482,948,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408,740 : 354,632,262 = 354,632,262 : x
  2. Step 2: Convert to fraction form
    260,408,740/354,632,262 = 354,632,262/x
  3. Step 3: Cross multiply
    260,408,740x = 354,632,262 × 354,632,262
  4. Step 4: Simplify right side
    260,408,740x = 125,764,041,251,236,640
  5. Step 5: Solve for x
    x = 125,764,041,251,236,640/260,408,740
  6. Step 6: Final answer
    x = 482,948,618.59

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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.