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Finding the Third Proportional to 222,533 and 480,868

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Solution

The third proportional to 222,533 and 480,868 is: 1,039,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,533 : 480,868 = 480,868 : x
  2. Step 2: Convert to fraction form
    222,533/480,868 = 480,868/x
  3. Step 3: Cross multiply
    222,533x = 480,868 × 480,868
  4. Step 4: Simplify right side
    222,533x = 231,234,033,424
  5. Step 5: Solve for x
    x = 231,234,033,424/222,533
  6. Step 6: Final answer
    x = 1,039,099.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.