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Finding the Third Proportional to 276,921 and 605,097

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Solution

The third proportional to 276,921 and 605,097 is: 1,322,190.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,921 : 605,097 = 605,097 : x
  2. Step 2: Convert to fraction form
    276,921/605,097 = 605,097/x
  3. Step 3: Cross multiply
    276,921x = 605,097 × 605,097
  4. Step 4: Simplify right side
    276,921x = 366,142,379,409
  5. Step 5: Solve for x
    x = 366,142,379,409/276,921
  6. Step 6: Final answer
    x = 1,322,190.73

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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.