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Finding the Third Proportional to 660.05 and 888.98

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Solution

The third proportional to 660.05 and 888.98 is: 1,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.05 : 888.98 = 888.98 : x
  2. Step 2: Convert to fraction form
    660.05/888.98 = 888.98/x
  3. Step 3: Cross multiply
    660.05x = 888.98 × 888.98
  4. Step 4: Simplify right side
    660.05x = 790,293.22
  5. Step 5: Solve for x
    x = 790,293.22/660.05
  6. Step 6: Final answer
    x = 1,197.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.