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Finding the Third Proportional to 271.50 and 578.63

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Solution

The third proportional to 271.50 and 578.63 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 578.63 = 578.63 : x
  2. Step 2: Convert to fraction form
    271.50/578.63 = 578.63/x
  3. Step 3: Cross multiply
    271.50x = 578.63 × 578.63
  4. Step 4: Simplify right side
    271.50x = 334,806.89
  5. Step 5: Solve for x
    x = 334,806.89/271.50
  6. Step 6: Final answer
    x = 1,233.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.