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Finding the Third Proportional to 449 and 668.69

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Solution

The third proportional to 449 and 668.69 is: 995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449 : 668.69 = 668.69 : x
  2. Step 2: Convert to fraction form
    449/668.69 = 668.69/x
  3. Step 3: Cross multiply
    449x = 668.69 × 668.69
  4. Step 4: Simplify right side
    449x = 447,142.97
  5. Step 5: Solve for x
    x = 447,142.97/449
  6. Step 6: Final answer
    x = 995.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.