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Finding the Third Proportional to 279,844 and 612,175

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Solution

The third proportional to 279,844 and 612,175 is: 1,339,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,844 : 612,175 = 612,175 : x
  2. Step 2: Convert to fraction form
    279,844/612,175 = 612,175/x
  3. Step 3: Cross multiply
    279,844x = 612,175 × 612,175
  4. Step 4: Simplify right side
    279,844x = 374,758,230,625
  5. Step 5: Solve for x
    x = 374,758,230,625/279,844
  6. Step 6: Final answer
    x = 1,339,168.36

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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.