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Finding the Third Proportional to 360.47 and 791.65

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Solution

The third proportional to 360.47 and 791.65 is: 1,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.47 : 791.65 = 791.65 : x
  2. Step 2: Convert to fraction form
    360.47/791.65 = 791.65/x
  3. Step 3: Cross multiply
    360.47x = 791.65 × 791.65
  4. Step 4: Simplify right side
    360.47x = 626,707.25
  5. Step 5: Solve for x
    x = 626,707.25/360.47
  6. Step 6: Final answer
    x = 1,738.60

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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.