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Finding the Third Proportional to 252,800 and 379,848

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Solution

The third proportional to 252,800 and 379,848 is: 570,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,800 : 379,848 = 379,848 : x
  2. Step 2: Convert to fraction form
    252,800/379,848 = 379,848/x
  3. Step 3: Cross multiply
    252,800x = 379,848 × 379,848
  4. Step 4: Simplify right side
    252,800x = 144,284,503,104
  5. Step 5: Solve for x
    x = 144,284,503,104/252,800
  6. Step 6: Final answer
    x = 570,745.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.