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Finding the Third Proportional to 513.75 and 752.44

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Solution

The third proportional to 513.75 and 752.44 is: 1,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 752.44 = 752.44 : x
  2. Step 2: Convert to fraction form
    513.75/752.44 = 752.44/x
  3. Step 3: Cross multiply
    513.75x = 752.44 × 752.44
  4. Step 4: Simplify right side
    513.75x = 566,162.19
  5. Step 5: Solve for x
    x = 566,162.19/513.75
  6. Step 6: Final answer
    x = 1,102.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.