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Finding the Third Proportional to 271.13 and 602.72

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Solution

The third proportional to 271.13 and 602.72 is: 1,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.13 : 602.72 = 602.72 : x
  2. Step 2: Convert to fraction form
    271.13/602.72 = 602.72/x
  3. Step 3: Cross multiply
    271.13x = 602.72 × 602.72
  4. Step 4: Simplify right side
    271.13x = 363,269.89
  5. Step 5: Solve for x
    x = 363,269.89/271.13
  6. Step 6: Final answer
    x = 1,339.86

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.