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Finding the Third Proportional to 251,796 and 541,016

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Solution

The third proportional to 251,796 and 541,016 is: 1,162,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,796 : 541,016 = 541,016 : x
  2. Step 2: Convert to fraction form
    251,796/541,016 = 541,016/x
  3. Step 3: Cross multiply
    251,796x = 541,016 × 541,016
  4. Step 4: Simplify right side
    251,796x = 292,698,312,256
  5. Step 5: Solve for x
    x = 292,698,312,256/251,796
  6. Step 6: Final answer
    x = 1,162,442.26

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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.