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Finding the Third Proportional to 442.10 and 650.33

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Solution

The third proportional to 442.10 and 650.33 is: 956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 650.33 = 650.33 : x
  2. Step 2: Convert to fraction form
    442.10/650.33 = 650.33/x
  3. Step 3: Cross multiply
    442.10x = 650.33 × 650.33
  4. Step 4: Simplify right side
    442.10x = 422,933.66
  5. Step 5: Solve for x
    x = 422,933.66/442.10
  6. Step 6: Final answer
    x = 956.65

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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.