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Finding the Third Proportional to 222,231 and 479,211

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Solution

The third proportional to 222,231 and 479,211 is: 1,033,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,231 : 479,211 = 479,211 : x
  2. Step 2: Convert to fraction form
    222,231/479,211 = 479,211/x
  3. Step 3: Cross multiply
    222,231x = 479,211 × 479,211
  4. Step 4: Simplify right side
    222,231x = 229,643,182,521
  5. Step 5: Solve for x
    x = 229,643,182,521/222,231
  6. Step 6: Final answer
    x = 1,033,353.50

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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.