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Finding the Third Proportional to 442.81 and 952.54

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Solution

The third proportional to 442.81 and 952.54 is: 2,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.81 : 952.54 = 952.54 : x
  2. Step 2: Convert to fraction form
    442.81/952.54 = 952.54/x
  3. Step 3: Cross multiply
    442.81x = 952.54 × 952.54
  4. Step 4: Simplify right side
    442.81x = 907,334.39
  5. Step 5: Solve for x
    x = 907,334.39/442.81
  6. Step 6: Final answer
    x = 2,049.04

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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.