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Finding the Third Proportional to 518.17 and 732.59

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Solution

The third proportional to 518.17 and 732.59 is: 1,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.17 : 732.59 = 732.59 : x
  2. Step 2: Convert to fraction form
    518.17/732.59 = 732.59/x
  3. Step 3: Cross multiply
    518.17x = 732.59 × 732.59
  4. Step 4: Simplify right side
    518.17x = 536,682.16
  5. Step 5: Solve for x
    x = 536,682.16/518.17
  6. Step 6: Final answer
    x = 1,035.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.