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Finding the Third Proportional to 490.25 and 665.88

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Solution

The third proportional to 490.25 and 665.88 is: 904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 665.88 = 665.88 : x
  2. Step 2: Convert to fraction form
    490.25/665.88 = 665.88/x
  3. Step 3: Cross multiply
    490.25x = 665.88 × 665.88
  4. Step 4: Simplify right side
    490.25x = 443,389.52
  5. Step 5: Solve for x
    x = 443,389.52/490.25
  6. Step 6: Final answer
    x = 904.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.