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Finding the Third Proportional to 379,062 and 817,167

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Solution

The third proportional to 379,062 and 817,167 is: 1,761,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,062 : 817,167 = 817,167 : x
  2. Step 2: Convert to fraction form
    379,062/817,167 = 817,167/x
  3. Step 3: Cross multiply
    379,062x = 817,167 × 817,167
  4. Step 4: Simplify right side
    379,062x = 667,761,905,889
  5. Step 5: Solve for x
    x = 667,761,905,889/379,062
  6. Step 6: Final answer
    x = 1,761,616.58

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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.