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Finding the Third Proportional to 730.42 and 1,102.04

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Solution

The third proportional to 730.42 and 1,102.04 is: 1,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.42 : 1,102.04 = 1,102.04 : x
  2. Step 2: Convert to fraction form
    730.42/1,102.04 = 1,102.04/x
  3. Step 3: Cross multiply
    730.42x = 1,102.04 × 1,102.04
  4. Step 4: Simplify right side
    730.42x = 1,214,498.70
  5. Step 5: Solve for x
    x = 1,214,498.70/730.42
  6. Step 6: Final answer
    x = 1,662.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.