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Finding the Third Proportional to 379,016 and 797,344

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Solution

The third proportional to 379,016 and 797,344 is: 1,677,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,016 : 797,344 = 797,344 : x
  2. Step 2: Convert to fraction form
    379,016/797,344 = 797,344/x
  3. Step 3: Cross multiply
    379,016x = 797,344 × 797,344
  4. Step 4: Simplify right side
    379,016x = 635,757,454,336
  5. Step 5: Solve for x
    x = 635,757,454,336/379,016
  6. Step 6: Final answer
    x = 1,677,389.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.