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Finding the Third Proportional to 512,498,052.70 and 765,388,718.44

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Solution

The third proportional to 512,498,052.70 and 765,388,718.44 is: 1,143,067,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,052.70 : 765,388,718.44 = 765,388,718.44 : x
  2. Step 2: Convert to fraction form
    512,498,052.70/765,388,718.44 = 765,388,718.44/x
  3. Step 3: Cross multiply
    512,498,052.70x = 765,388,718.44 × 765,388,718.44
  4. Step 4: Simplify right side
    512,498,052.70x = 585,819,890,311,398,656
  5. Step 5: Solve for x
    x = 585,819,890,311,398,656/512,498,052.70
  6. Step 6: Final answer
    x = 1,143,067,543.81

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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.