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Finding the Third Proportional to 283,322 and 619,204

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Solution

The third proportional to 283,322 and 619,204 is: 1,353,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,322 : 619,204 = 619,204 : x
  2. Step 2: Convert to fraction form
    283,322/619,204 = 619,204/x
  3. Step 3: Cross multiply
    283,322x = 619,204 × 619,204
  4. Step 4: Simplify right side
    283,322x = 383,413,593,616
  5. Step 5: Solve for x
    x = 383,413,593,616/283,322
  6. Step 6: Final answer
    x = 1,353,278.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.