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Finding the Third Proportional to 219,593 and 479,344

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Solution

The third proportional to 219,593 and 479,344 is: 1,046,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,593 : 479,344 = 479,344 : x
  2. Step 2: Convert to fraction form
    219,593/479,344 = 479,344/x
  3. Step 3: Cross multiply
    219,593x = 479,344 × 479,344
  4. Step 4: Simplify right side
    219,593x = 229,770,670,336
  5. Step 5: Solve for x
    x = 229,770,670,336/219,593
  6. Step 6: Final answer
    x = 1,046,347.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.