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Finding the Third Proportional to 665.06 and 998.06

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Solution

The third proportional to 665.06 and 998.06 is: 1,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.06 : 998.06 = 998.06 : x
  2. Step 2: Convert to fraction form
    665.06/998.06 = 998.06/x
  3. Step 3: Cross multiply
    665.06x = 998.06 × 998.06
  4. Step 4: Simplify right side
    665.06x = 996,128.75
  5. Step 5: Solve for x
    x = 996,128.75/665.06
  6. Step 6: Final answer
    x = 1,497.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.