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Finding the Third Proportional to 542.00 and 1,104.26

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Solution

The third proportional to 542.00 and 1,104.26 is: 2,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.00 : 1,104.26 = 1,104.26 : x
  2. Step 2: Convert to fraction form
    542.00/1,104.26 = 1,104.26/x
  3. Step 3: Cross multiply
    542.00x = 1,104.26 × 1,104.26
  4. Step 4: Simplify right side
    542.00x = 1,219,385.32
  5. Step 5: Solve for x
    x = 1,219,385.32/542.00
  6. Step 6: Final answer
    x = 2,249.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.