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Finding the Third Proportional to 276,832 and 605,356

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Solution

The third proportional to 276,832 and 605,356 is: 1,323,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,832 : 605,356 = 605,356 : x
  2. Step 2: Convert to fraction form
    276,832/605,356 = 605,356/x
  3. Step 3: Cross multiply
    276,832x = 605,356 × 605,356
  4. Step 4: Simplify right side
    276,832x = 366,455,886,736
  5. Step 5: Solve for x
    x = 366,455,886,736/276,832
  6. Step 6: Final answer
    x = 1,323,748.29

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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.