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Finding the Third Proportional to 278,479,544 and 603,241,840

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Solution

The third proportional to 278,479,544 and 603,241,840 is: 1,306,741,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,479,544 : 603,241,840 = 603,241,840 : x
  2. Step 2: Convert to fraction form
    278,479,544/603,241,840 = 603,241,840/x
  3. Step 3: Cross multiply
    278,479,544x = 603,241,840 × 603,241,840
  4. Step 4: Simplify right side
    278,479,544x = 363,900,717,526,585,600
  5. Step 5: Solve for x
    x = 363,900,717,526,585,600/278,479,544
  6. Step 6: Final answer
    x = 1,306,741,286.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.