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Finding the Third Proportional to 276,861 and 395,911.50

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Solution

The third proportional to 276,861 and 395,911.50 is: 566,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,861 : 395,911.50 = 395,911.50 : x
  2. Step 2: Convert to fraction form
    276,861/395,911.50 = 395,911.50/x
  3. Step 3: Cross multiply
    276,861x = 395,911.50 × 395,911.50
  4. Step 4: Simplify right side
    276,861x = 156,745,915,832.25
  5. Step 5: Solve for x
    x = 156,745,915,832.25/276,861
  6. Step 6: Final answer
    x = 566,153.83

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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.