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Finding the Third Proportional to 322,464,998 and 486,370,016

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Solution

The third proportional to 322,464,998 and 486,370,016 is: 733,585,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464,998 : 486,370,016 = 486,370,016 : x
  2. Step 2: Convert to fraction form
    322,464,998/486,370,016 = 486,370,016/x
  3. Step 3: Cross multiply
    322,464,998x = 486,370,016 × 486,370,016
  4. Step 4: Simplify right side
    322,464,998x = 236,555,792,463,840,256
  5. Step 5: Solve for x
    x = 236,555,792,463,840,256/322,464,998
  6. Step 6: Final answer
    x = 733,585,951.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.