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Finding the Third Proportional to 541.27 and 816.77

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Solution

The third proportional to 541.27 and 816.77 is: 1,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.27 : 816.77 = 816.77 : x
  2. Step 2: Convert to fraction form
    541.27/816.77 = 816.77/x
  3. Step 3: Cross multiply
    541.27x = 816.77 × 816.77
  4. Step 4: Simplify right side
    541.27x = 667,118.85
  5. Step 5: Solve for x
    x = 667,118.85/541.27
  6. Step 6: Final answer
    x = 1,232.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.