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Finding the Third Proportional to 352,008,869 and 743,251,290

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Solution

The third proportional to 352,008,869 and 743,251,290 is: 1,569,342,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,008,869 : 743,251,290 = 743,251,290 : x
  2. Step 2: Convert to fraction form
    352,008,869/743,251,290 = 743,251,290/x
  3. Step 3: Cross multiply
    352,008,869x = 743,251,290 × 743,251,290
  4. Step 4: Simplify right side
    352,008,869x = 552,422,480,086,664,128
  5. Step 5: Solve for x
    x = 552,422,480,086,664,128/352,008,869
  6. Step 6: Final answer
    x = 1,569,342,504.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.