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Finding the Third Proportional to 496.97 and 665.30

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Solution

The third proportional to 496.97 and 665.30 is: 890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 665.30 = 665.30 : x
  2. Step 2: Convert to fraction form
    496.97/665.30 = 665.30/x
  3. Step 3: Cross multiply
    496.97x = 665.30 × 665.30
  4. Step 4: Simplify right side
    496.97x = 442,619.93
  5. Step 5: Solve for x
    x = 442,619.93/496.97
  6. Step 6: Final answer
    x = 890.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.