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Finding the Third Proportional to 276,328 and 605,268

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Solution

The third proportional to 276,328 and 605,268 is: 1,325,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,328 : 605,268 = 605,268 : x
  2. Step 2: Convert to fraction form
    276,328/605,268 = 605,268/x
  3. Step 3: Cross multiply
    276,328x = 605,268 × 605,268
  4. Step 4: Simplify right side
    276,328x = 366,349,351,824
  5. Step 5: Solve for x
    x = 366,349,351,824/276,328
  6. Step 6: Final answer
    x = 1,325,777.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.