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Finding the Third Proportional to 255,569 and 396,848

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Solution

The third proportional to 255,569 and 396,848 is: 616,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,569 : 396,848 = 396,848 : x
  2. Step 2: Convert to fraction form
    255,569/396,848 = 396,848/x
  3. Step 3: Cross multiply
    255,569x = 396,848 × 396,848
  4. Step 4: Simplify right side
    255,569x = 157,488,335,104
  5. Step 5: Solve for x
    x = 157,488,335,104/255,569
  6. Step 6: Final answer
    x = 616,226.28

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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.