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Finding the Third Proportional to 232,449,942 and 505,758,999

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Solution

The third proportional to 232,449,942 and 505,758,999 is: 1,100,418,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,449,942 : 505,758,999 = 505,758,999 : x
  2. Step 2: Convert to fraction form
    232,449,942/505,758,999 = 505,758,999/x
  3. Step 3: Cross multiply
    232,449,942x = 505,758,999 × 505,758,999
  4. Step 4: Simplify right side
    232,449,942x = 255,792,165,069,482,016
  5. Step 5: Solve for x
    x = 255,792,165,069,482,016/232,449,942
  6. Step 6: Final answer
    x = 1,100,418,278.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.