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Finding the Third Proportional to 255,567 and 396,845

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Solution

The third proportional to 255,567 and 396,845 is: 616,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,567 : 396,845 = 396,845 : x
  2. Step 2: Convert to fraction form
    255,567/396,845 = 396,845/x
  3. Step 3: Cross multiply
    255,567x = 396,845 × 396,845
  4. Step 4: Simplify right side
    255,567x = 157,485,954,025
  5. Step 5: Solve for x
    x = 157,485,954,025/255,567
  6. Step 6: Final answer
    x = 616,221.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.