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Finding the Third Proportional to 192,618 and 413,910

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Solution

The third proportional to 192,618 and 413,910 is: 889,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,618 : 413,910 = 413,910 : x
  2. Step 2: Convert to fraction form
    192,618/413,910 = 413,910/x
  3. Step 3: Cross multiply
    192,618x = 413,910 × 413,910
  4. Step 4: Simplify right side
    192,618x = 171,321,488,100
  5. Step 5: Solve for x
    x = 171,321,488,100/192,618
  6. Step 6: Final answer
    x = 889,436.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.