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Finding the Third Proportional to 449.50 and 800

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Solution

The third proportional to 449.50 and 800 is: 1,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 800 = 800 : x
  2. Step 2: Convert to fraction form
    449.50/800 = 800/x
  3. Step 3: Cross multiply
    449.50x = 800 × 800
  4. Step 4: Simplify right side
    449.50x = 640,000
  5. Step 5: Solve for x
    x = 640,000/449.50
  6. Step 6: Final answer
    x = 1,423.80

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.