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Finding the Third Proportional to 228,204 and 533,250

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Solution

The third proportional to 228,204 and 533,250 is: 1,246,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,204 : 533,250 = 533,250 : x
  2. Step 2: Convert to fraction form
    228,204/533,250 = 533,250/x
  3. Step 3: Cross multiply
    228,204x = 533,250 × 533,250
  4. Step 4: Simplify right side
    228,204x = 284,355,562,500
  5. Step 5: Solve for x
    x = 284,355,562,500/228,204
  6. Step 6: Final answer
    x = 1,246,058.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.