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Finding the Third Proportional to 791.02 and 1,734.42

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Solution

The third proportional to 791.02 and 1,734.42 is: 3,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.02 : 1,734.42 = 1,734.42 : x
  2. Step 2: Convert to fraction form
    791.02/1,734.42 = 1,734.42/x
  3. Step 3: Cross multiply
    791.02x = 1,734.42 × 1,734.42
  4. Step 4: Simplify right side
    791.02x = 3,008,219.24
  5. Step 5: Solve for x
    x = 3,008,219.24/791.02
  6. Step 6: Final answer
    x = 3,802.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.