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Finding the Third Proportional to 512,498,010.75 and 765,388,661.25

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Solution

The third proportional to 512,498,010.75 and 765,388,661.25 is: 1,143,067,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,010.75 : 765,388,661.25 = 765,388,661.25 : x
  2. Step 2: Convert to fraction form
    512,498,010.75/765,388,661.25 = 765,388,661.25/x
  3. Step 3: Cross multiply
    512,498,010.75x = 765,388,661.25 × 765,388,661.25
  4. Step 4: Simplify right side
    512,498,010.75x = 585,819,802,770,067,200
  5. Step 5: Solve for x
    x = 585,819,802,770,067,200/512,498,010.75
  6. Step 6: Final answer
    x = 1,143,067,466.57

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