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Finding the Third Proportional to 230,869 and 354,626

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Solution

The third proportional to 230,869 and 354,626 is: 544,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,869 : 354,626 = 354,626 : x
  2. Step 2: Convert to fraction form
    230,869/354,626 = 354,626/x
  3. Step 3: Cross multiply
    230,869x = 354,626 × 354,626
  4. Step 4: Simplify right side
    230,869x = 125,759,599,876
  5. Step 5: Solve for x
    x = 125,759,599,876/230,869
  6. Step 6: Final answer
    x = 544,722.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.