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Finding the Third Proportional to 511.81 and 1,104.44

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Solution

The third proportional to 511.81 and 1,104.44 is: 2,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.81 : 1,104.44 = 1,104.44 : x
  2. Step 2: Convert to fraction form
    511.81/1,104.44 = 1,104.44/x
  3. Step 3: Cross multiply
    511.81x = 1,104.44 × 1,104.44
  4. Step 4: Simplify right side
    511.81x = 1,219,782.19
  5. Step 5: Solve for x
    x = 1,219,782.19/511.81
  6. Step 6: Final answer
    x = 2,383.26

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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.