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Finding the Third Proportional to 383,793,198 and 561,296,568

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Solution

The third proportional to 383,793,198 and 561,296,568 is: 820,894,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,793,198 : 561,296,568 = 561,296,568 : x
  2. Step 2: Convert to fraction form
    383,793,198/561,296,568 = 561,296,568/x
  3. Step 3: Cross multiply
    383,793,198x = 561,296,568 × 561,296,568
  4. Step 4: Simplify right side
    383,793,198x = 315,053,837,248,578,624
  5. Step 5: Solve for x
    x = 315,053,837,248,578,624/383,793,198
  6. Step 6: Final answer
    x = 820,894,791.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.