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Finding the Third Proportional to 386,067,210 and 543,667,701

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Solution

The third proportional to 386,067,210 and 543,667,701 is: 765,603,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,067,210 : 543,667,701 = 543,667,701 : x
  2. Step 2: Convert to fraction form
    386,067,210/543,667,701 = 543,667,701/x
  3. Step 3: Cross multiply
    386,067,210x = 543,667,701 × 543,667,701
  4. Step 4: Simplify right side
    386,067,210x = 295,574,569,110,625,408
  5. Step 5: Solve for x
    x = 295,574,569,110,625,408/386,067,210
  6. Step 6: Final answer
    x = 765,603,919.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.