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Finding the Third Proportional to 513 and 1,118.81

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Solution

The third proportional to 513 and 1,118.81 is: 2,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 1,118.81 = 1,118.81 : x
  2. Step 2: Convert to fraction form
    513/1,118.81 = 1,118.81/x
  3. Step 3: Cross multiply
    513x = 1,118.81 × 1,118.81
  4. Step 4: Simplify right side
    513x = 1,251,741.41
  5. Step 5: Solve for x
    x = 1,251,741.41/513
  6. Step 6: Final answer
    x = 2,440.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.