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Finding the Third Proportional to 496.97 and 541.27

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Solution

The third proportional to 496.97 and 541.27 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 541.27 = 541.27 : x
  2. Step 2: Convert to fraction form
    496.97/541.27 = 541.27/x
  3. Step 3: Cross multiply
    496.97x = 541.27 × 541.27
  4. Step 4: Simplify right side
    496.97x = 292,968.48
  5. Step 5: Solve for x
    x = 292,968.48/496.97
  6. Step 6: Final answer
    x = 589.51

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.