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Finding the Third Proportional to 271.27 and 583.77

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Solution

The third proportional to 271.27 and 583.77 is: 1,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.27 : 583.77 = 583.77 : x
  2. Step 2: Convert to fraction form
    271.27/583.77 = 583.77/x
  3. Step 3: Cross multiply
    271.27x = 583.77 × 583.77
  4. Step 4: Simplify right side
    271.27x = 340,786.87
  5. Step 5: Solve for x
    x = 340,786.87/271.27
  6. Step 6: Final answer
    x = 1,256.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.