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Finding the Third Proportional to 276,839 and 431,650.50

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Solution

The third proportional to 276,839 and 431,650.50 is: 673,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,839 : 431,650.50 = 431,650.50 : x
  2. Step 2: Convert to fraction form
    276,839/431,650.50 = 431,650.50/x
  3. Step 3: Cross multiply
    276,839x = 431,650.50 × 431,650.50
  4. Step 4: Simplify right side
    276,839x = 186,322,154,150.25
  5. Step 5: Solve for x
    x = 186,322,154,150.25/276,839
  6. Step 6: Final answer
    x = 673,034.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.