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Finding the Third Proportional to 222,669 and 467,211

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Solution

The third proportional to 222,669 and 467,211 is: 980,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,669 : 467,211 = 467,211 : x
  2. Step 2: Convert to fraction form
    222,669/467,211 = 467,211/x
  3. Step 3: Cross multiply
    222,669x = 467,211 × 467,211
  4. Step 4: Simplify right side
    222,669x = 218,286,118,521
  5. Step 5: Solve for x
    x = 218,286,118,521/222,669
  6. Step 6: Final answer
    x = 980,316.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.