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Finding the Third Proportional to 411 and 600.50

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Solution

The third proportional to 411 and 600.50 is: 877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 600.50 = 600.50 : x
  2. Step 2: Convert to fraction form
    411/600.50 = 600.50/x
  3. Step 3: Cross multiply
    411x = 600.50 × 600.50
  4. Step 4: Simplify right side
    411x = 360,600.25
  5. Step 5: Solve for x
    x = 360,600.25/411
  6. Step 6: Final answer
    x = 877.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.