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Finding the Third Proportional to 498,366,041 and 773,669,172

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Solution

The third proportional to 498,366,041 and 773,669,172 is: 1,201,052,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,041 : 773,669,172 = 773,669,172 : x
  2. Step 2: Convert to fraction form
    498,366,041/773,669,172 = 773,669,172/x
  3. Step 3: Cross multiply
    498,366,041x = 773,669,172 × 773,669,172
  4. Step 4: Simplify right side
    498,366,041x = 598,563,987,703,165,568
  5. Step 5: Solve for x
    x = 598,563,987,703,165,568/498,366,041
  6. Step 6: Final answer
    x = 1,201,052,917.86

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Why These Related Problems?

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