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Finding the Third Proportional to 276,876 and 395,932.50

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Solution

The third proportional to 276,876 and 395,932.50 is: 566,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,876 : 395,932.50 = 395,932.50 : x
  2. Step 2: Convert to fraction form
    276,876/395,932.50 = 395,932.50/x
  3. Step 3: Cross multiply
    276,876x = 395,932.50 × 395,932.50
  4. Step 4: Simplify right side
    276,876x = 156,762,544,556.25
  5. Step 5: Solve for x
    x = 156,762,544,556.25/276,876
  6. Step 6: Final answer
    x = 566,183.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.