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Finding the Third Proportional to 452.25 and 541.69

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Solution

The third proportional to 452.25 and 541.69 is: 648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 541.69 = 541.69 : x
  2. Step 2: Convert to fraction form
    452.25/541.69 = 541.69/x
  3. Step 3: Cross multiply
    452.25x = 541.69 × 541.69
  4. Step 4: Simplify right side
    452.25x = 293,425.35
  5. Step 5: Solve for x
    x = 293,425.35/452.25
  6. Step 6: Final answer
    x = 648.81

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.