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Finding the Third Proportional to 441.65 and 650.21

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Solution

The third proportional to 441.65 and 650.21 is: 957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.65 : 650.21 = 650.21 : x
  2. Step 2: Convert to fraction form
    441.65/650.21 = 650.21/x
  3. Step 3: Cross multiply
    441.65x = 650.21 × 650.21
  4. Step 4: Simplify right side
    441.65x = 422,779.34
  5. Step 5: Solve for x
    x = 422,779.34/441.65
  6. Step 6: Final answer
    x = 957.27

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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.