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Finding the Third Proportional to 276,801 and 605,680

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Solution

The third proportional to 276,801 and 605,680 is: 1,325,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,801 : 605,680 = 605,680 : x
  2. Step 2: Convert to fraction form
    276,801/605,680 = 605,680/x
  3. Step 3: Cross multiply
    276,801x = 605,680 × 605,680
  4. Step 4: Simplify right side
    276,801x = 366,848,262,400
  5. Step 5: Solve for x
    x = 366,848,262,400/276,801
  6. Step 6: Final answer
    x = 1,325,314.08

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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.