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Finding the Third Proportional to 283,204 and 612,296

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Solution

The third proportional to 283,204 and 612,296 is: 1,323,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,204 : 612,296 = 612,296 : x
  2. Step 2: Convert to fraction form
    283,204/612,296 = 612,296/x
  3. Step 3: Cross multiply
    283,204x = 612,296 × 612,296
  4. Step 4: Simplify right side
    283,204x = 374,906,391,616
  5. Step 5: Solve for x
    x = 374,906,391,616/283,204
  6. Step 6: Final answer
    x = 1,323,803.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.