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Finding the Third Proportional to 791.16 and 1,259.30

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Solution

The third proportional to 791.16 and 1,259.30 is: 2,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.16 : 1,259.30 = 1,259.30 : x
  2. Step 2: Convert to fraction form
    791.16/1,259.30 = 1,259.30/x
  3. Step 3: Cross multiply
    791.16x = 1,259.30 × 1,259.30
  4. Step 4: Simplify right side
    791.16x = 1,585,828.62
  5. Step 5: Solve for x
    x = 1,585,828.62/791.16
  6. Step 6: Final answer
    x = 2,004.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.