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Finding the Third Proportional to 519.75 and 566.44

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Solution

The third proportional to 519.75 and 566.44 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 566.44 = 566.44 : x
  2. Step 2: Convert to fraction form
    519.75/566.44 = 566.44/x
  3. Step 3: Cross multiply
    519.75x = 566.44 × 566.44
  4. Step 4: Simplify right side
    519.75x = 320,851.44
  5. Step 5: Solve for x
    x = 320,851.44/519.75
  6. Step 6: Final answer
    x = 617.32

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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.