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Finding the Third Proportional to 223,844 and 491,796

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Solution

The third proportional to 223,844 and 491,796 is: 1,080,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844 : 491,796 = 491,796 : x
  2. Step 2: Convert to fraction form
    223,844/491,796 = 491,796/x
  3. Step 3: Cross multiply
    223,844x = 491,796 × 491,796
  4. Step 4: Simplify right side
    223,844x = 241,863,305,616
  5. Step 5: Solve for x
    x = 241,863,305,616/223,844
  6. Step 6: Final answer
    x = 1,080,499.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.