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Finding the Third Proportional to 411 and 665.50

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Solution

The third proportional to 411 and 665.50 is: 1,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 665.50 = 665.50 : x
  2. Step 2: Convert to fraction form
    411/665.50 = 665.50/x
  3. Step 3: Cross multiply
    411x = 665.50 × 665.50
  4. Step 4: Simplify right side
    411x = 442,890.25
  5. Step 5: Solve for x
    x = 442,890.25/411
  6. Step 6: Final answer
    x = 1,077.59

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.