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Finding the Third Proportional to 234,863 and 523,512

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Solution

The third proportional to 234,863 and 523,512 is: 1,166,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,863 : 523,512 = 523,512 : x
  2. Step 2: Convert to fraction form
    234,863/523,512 = 523,512/x
  3. Step 3: Cross multiply
    234,863x = 523,512 × 523,512
  4. Step 4: Simplify right side
    234,863x = 274,064,814,144
  5. Step 5: Solve for x
    x = 274,064,814,144/234,863
  6. Step 6: Final answer
    x = 1,166,913.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.