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Finding the Third Proportional to 498,366,067 and 773,669,211

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Solution

The third proportional to 498,366,067 and 773,669,211 is: 1,201,052,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,067 : 773,669,211 = 773,669,211 : x
  2. Step 2: Convert to fraction form
    498,366,067/773,669,211 = 773,669,211/x
  3. Step 3: Cross multiply
    498,366,067x = 773,669,211 × 773,669,211
  4. Step 4: Simplify right side
    498,366,067x = 598,564,048,049,362,560
  5. Step 5: Solve for x
    x = 598,564,048,049,362,560/498,366,067
  6. Step 6: Final answer
    x = 1,201,052,976.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.