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Finding the Third Proportional to 259,951,074 and 403,809,667

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Solution

The third proportional to 259,951,074 and 403,809,667 is: 627,280,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,951,074 : 403,809,667 = 403,809,667 : x
  2. Step 2: Convert to fraction form
    259,951,074/403,809,667 = 403,809,667/x
  3. Step 3: Cross multiply
    259,951,074x = 403,809,667 × 403,809,667
  4. Step 4: Simplify right side
    259,951,074x = 163,062,247,162,650,880
  5. Step 5: Solve for x
    x = 163,062,247,162,650,880/259,951,074
  6. Step 6: Final answer
    x = 627,280,528.81

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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.