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Finding the Third Proportional to 442.41 and 949.69

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Solution

The third proportional to 442.41 and 949.69 is: 2,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 949.69 = 949.69 : x
  2. Step 2: Convert to fraction form
    442.41/949.69 = 949.69/x
  3. Step 3: Cross multiply
    442.41x = 949.69 × 949.69
  4. Step 4: Simplify right side
    442.41x = 901,906.35
  5. Step 5: Solve for x
    x = 901,906.35/442.41
  6. Step 6: Final answer
    x = 2,038.64

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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.