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Finding the Third Proportional to 442.25 and 650.44

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Solution

The third proportional to 442.25 and 650.44 is: 956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 650.44 = 650.44 : x
  2. Step 2: Convert to fraction form
    442.25/650.44 = 650.44/x
  3. Step 3: Cross multiply
    442.25x = 650.44 × 650.44
  4. Step 4: Simplify right side
    442.25x = 423,068.94
  5. Step 5: Solve for x
    x = 423,068.94/442.25
  6. Step 6: Final answer
    x = 956.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.