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Finding the Third Proportional to 411.94 and 888.84

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Solution

The third proportional to 411.94 and 888.84 is: 1,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 888.84 = 888.84 : x
  2. Step 2: Convert to fraction form
    411.94/888.84 = 888.84/x
  3. Step 3: Cross multiply
    411.94x = 888.84 × 888.84
  4. Step 4: Simplify right side
    411.94x = 790,043.21
  5. Step 5: Solve for x
    x = 790,043.21/411.94
  6. Step 6: Final answer
    x = 1,917.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.