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Finding the Third Proportional to 452.06 and 495.94

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Solution

The third proportional to 452.06 and 495.94 is: 544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 495.94 = 495.94 : x
  2. Step 2: Convert to fraction form
    452.06/495.94 = 495.94/x
  3. Step 3: Cross multiply
    452.06x = 495.94 × 495.94
  4. Step 4: Simplify right side
    452.06x = 245,954.00
  5. Step 5: Solve for x
    x = 245,954.00/452.06
  6. Step 6: Final answer
    x = 544.07

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.