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Finding the Third Proportional to 496.97 and 547.03

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Solution

The third proportional to 496.97 and 547.03 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 547.03 = 547.03 : x
  2. Step 2: Convert to fraction form
    496.97/547.03 = 547.03/x
  3. Step 3: Cross multiply
    496.97x = 547.03 × 547.03
  4. Step 4: Simplify right side
    496.97x = 299,243.19
  5. Step 5: Solve for x
    x = 299,243.19/496.97
  6. Step 6: Final answer
    x = 602.14

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Why These Related Problems?

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