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Finding the Third Proportional to 411 and 933

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Solution

The third proportional to 411 and 933 is: 2,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 933 = 933 : x
  2. Step 2: Convert to fraction form
    411/933 = 933/x
  3. Step 3: Cross multiply
    411x = 933 × 933
  4. Step 4: Simplify right side
    411x = 870,489
  5. Step 5: Solve for x
    x = 870,489/411
  6. Step 6: Final answer
    x = 2,117.98

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.