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Finding the Third Proportional to 448.81 and 658.44

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Solution

The third proportional to 448.81 and 658.44 is: 965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.81 : 658.44 = 658.44 : x
  2. Step 2: Convert to fraction form
    448.81/658.44 = 658.44/x
  3. Step 3: Cross multiply
    448.81x = 658.44 × 658.44
  4. Step 4: Simplify right side
    448.81x = 433,539.94
  5. Step 5: Solve for x
    x = 433,539.94/448.81
  6. Step 6: Final answer
    x = 965.97

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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.