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Finding the Third Proportional to 442.25 and 948.75

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Solution

The third proportional to 442.25 and 948.75 is: 2,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 948.75 = 948.75 : x
  2. Step 2: Convert to fraction form
    442.25/948.75 = 948.75/x
  3. Step 3: Cross multiply
    442.25x = 948.75 × 948.75
  4. Step 4: Simplify right side
    442.25x = 900,126.56
  5. Step 5: Solve for x
    x = 900,126.56/442.25
  6. Step 6: Final answer
    x = 2,035.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.