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Finding the Third Proportional to 426.25 and 932.75

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Solution

The third proportional to 426.25 and 932.75 is: 2,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.25 : 932.75 = 932.75 : x
  2. Step 2: Convert to fraction form
    426.25/932.75 = 932.75/x
  3. Step 3: Cross multiply
    426.25x = 932.75 × 932.75
  4. Step 4: Simplify right side
    426.25x = 870,022.56
  5. Step 5: Solve for x
    x = 870,022.56/426.25
  6. Step 6: Final answer
    x = 2,041.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.