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Finding the Third Proportional to 276,881 and 605,006

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Solution

The third proportional to 276,881 and 605,006 is: 1,321,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,881 : 605,006 = 605,006 : x
  2. Step 2: Convert to fraction form
    276,881/605,006 = 605,006/x
  3. Step 3: Cross multiply
    276,881x = 605,006 × 605,006
  4. Step 4: Simplify right side
    276,881x = 366,032,260,036
  5. Step 5: Solve for x
    x = 366,032,260,036/276,881
  6. Step 6: Final answer
    x = 1,321,984.03

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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.