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Finding the Third Proportional to 518.27 and 734.70

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Solution

The third proportional to 518.27 and 734.70 is: 1,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.27 : 734.70 = 734.70 : x
  2. Step 2: Convert to fraction form
    518.27/734.70 = 734.70/x
  3. Step 3: Cross multiply
    518.27x = 734.70 × 734.70
  4. Step 4: Simplify right side
    518.27x = 539,777.20
  5. Step 5: Solve for x
    x = 539,777.20/518.27
  6. Step 6: Final answer
    x = 1,041.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.