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Finding the Third Proportional to 452.06 and 517.31

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Solution

The third proportional to 452.06 and 517.31 is: 591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 517.31 = 517.31 : x
  2. Step 2: Convert to fraction form
    452.06/517.31 = 517.31/x
  3. Step 3: Cross multiply
    452.06x = 517.31 × 517.31
  4. Step 4: Simplify right side
    452.06x = 267,612.22
  5. Step 5: Solve for x
    x = 267,612.22/452.06
  6. Step 6: Final answer
    x = 591.98

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.