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Finding the Third Proportional to 223,816 and 491,736

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Solution

The third proportional to 223,816 and 491,736 is: 1,080,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,816 : 491,736 = 491,736 : x
  2. Step 2: Convert to fraction form
    223,816/491,736 = 491,736/x
  3. Step 3: Cross multiply
    223,816x = 491,736 × 491,736
  4. Step 4: Simplify right side
    223,816x = 241,804,293,696
  5. Step 5: Solve for x
    x = 241,804,293,696/223,816
  6. Step 6: Final answer
    x = 1,080,370.90

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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.