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Finding the Third Proportional to 259,279 and 388,923

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Solution

The third proportional to 259,279 and 388,923 is: 583,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,279 : 388,923 = 388,923 : x
  2. Step 2: Convert to fraction form
    259,279/388,923 = 388,923/x
  3. Step 3: Cross multiply
    259,279x = 388,923 × 388,923
  4. Step 4: Simplify right side
    259,279x = 151,261,099,929
  5. Step 5: Solve for x
    x = 151,261,099,929/259,279
  6. Step 6: Final answer
    x = 583,391.25

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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.