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Finding the Third Proportional to 276,193 and 605,083

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Solution

The third proportional to 276,193 and 605,083 is: 1,325,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,193 : 605,083 = 605,083 : x
  2. Step 2: Convert to fraction form
    276,193/605,083 = 605,083/x
  3. Step 3: Cross multiply
    276,193x = 605,083 × 605,083
  4. Step 4: Simplify right side
    276,193x = 366,125,436,889
  5. Step 5: Solve for x
    x = 366,125,436,889/276,193
  6. Step 6: Final answer
    x = 1,325,614.47

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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.