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Finding the Third Proportional to 411.50 and 919.75

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Solution

The third proportional to 411.50 and 919.75 is: 2,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.50 : 919.75 = 919.75 : x
  2. Step 2: Convert to fraction form
    411.50/919.75 = 919.75/x
  3. Step 3: Cross multiply
    411.50x = 919.75 × 919.75
  4. Step 4: Simplify right side
    411.50x = 845,940.06
  5. Step 5: Solve for x
    x = 845,940.06/411.50
  6. Step 6: Final answer
    x = 2,055.75

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.