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Finding the Third Proportional to 600.94 and 825.47

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Solution

The third proportional to 600.94 and 825.47 is: 1,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 825.47 = 825.47 : x
  2. Step 2: Convert to fraction form
    600.94/825.47 = 825.47/x
  3. Step 3: Cross multiply
    600.94x = 825.47 × 825.47
  4. Step 4: Simplify right side
    600.94x = 681,398.66
  5. Step 5: Solve for x
    x = 681,398.66/600.94
  6. Step 6: Final answer
    x = 1,133.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.