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Finding the Third Proportional to 517.64 and 1,099.35

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Solution

The third proportional to 517.64 and 1,099.35 is: 2,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 1,099.35 = 1,099.35 : x
  2. Step 2: Convert to fraction form
    517.64/1,099.35 = 1,099.35/x
  3. Step 3: Cross multiply
    517.64x = 1,099.35 × 1,099.35
  4. Step 4: Simplify right side
    517.64x = 1,208,578.15
  5. Step 5: Solve for x
    x = 1,208,578.15/517.64
  6. Step 6: Final answer
    x = 2,334.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.