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Finding the Third Proportional to 259,928 and 566,832

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Solution

The third proportional to 259,928 and 566,832 is: 1,236,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,928 : 566,832 = 566,832 : x
  2. Step 2: Convert to fraction form
    259,928/566,832 = 566,832/x
  3. Step 3: Cross multiply
    259,928x = 566,832 × 566,832
  4. Step 4: Simplify right side
    259,928x = 321,298,516,224
  5. Step 5: Solve for x
    x = 321,298,516,224/259,928
  6. Step 6: Final answer
    x = 1,236,105.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.