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Finding the Third Proportional to 222,533 and 478,244

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Solution

The third proportional to 222,533 and 478,244 is: 1,027,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,533 : 478,244 = 478,244 : x
  2. Step 2: Convert to fraction form
    222,533/478,244 = 478,244/x
  3. Step 3: Cross multiply
    222,533x = 478,244 × 478,244
  4. Step 4: Simplify right side
    222,533x = 228,717,323,536
  5. Step 5: Solve for x
    x = 228,717,323,536/222,533
  6. Step 6: Final answer
    x = 1,027,790.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.