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Finding the Third Proportional to 234,962 and 522,244

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Solution

The third proportional to 234,962 and 522,244 is: 1,160,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,962 : 522,244 = 522,244 : x
  2. Step 2: Convert to fraction form
    234,962/522,244 = 522,244/x
  3. Step 3: Cross multiply
    234,962x = 522,244 × 522,244
  4. Step 4: Simplify right side
    234,962x = 272,738,795,536
  5. Step 5: Solve for x
    x = 272,738,795,536/234,962
  6. Step 6: Final answer
    x = 1,160,778.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.