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Finding the Third Proportional to 791.06 and 1,262.53

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Solution

The third proportional to 791.06 and 1,262.53 is: 2,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.06 : 1,262.53 = 1,262.53 : x
  2. Step 2: Convert to fraction form
    791.06/1,262.53 = 1,262.53/x
  3. Step 3: Cross multiply
    791.06x = 1,262.53 × 1,262.53
  4. Step 4: Simplify right side
    791.06x = 1,593,985.16
  5. Step 5: Solve for x
    x = 1,593,985.16/791.06
  6. Step 6: Final answer
    x = 2,014.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.