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Finding the Third Proportional to 512,498,067 and 765,388,740

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Solution

The third proportional to 512,498,067 and 765,388,740 is: 1,143,067,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,067 : 765,388,740 = 765,388,740 : x
  2. Step 2: Convert to fraction form
    512,498,067/765,388,740 = 765,388,740/x
  3. Step 3: Cross multiply
    512,498,067x = 765,388,740 × 765,388,740
  4. Step 4: Simplify right side
    512,498,067x = 585,819,923,318,787,584
  5. Step 5: Solve for x
    x = 585,819,923,318,787,584/512,498,067
  6. Step 6: Final answer
    x = 1,143,067,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.