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Finding the Third Proportional to 449.75 and 821.50

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Solution

The third proportional to 449.75 and 821.50 is: 1,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 821.50 = 821.50 : x
  2. Step 2: Convert to fraction form
    449.75/821.50 = 821.50/x
  3. Step 3: Cross multiply
    449.75x = 821.50 × 821.50
  4. Step 4: Simplify right side
    449.75x = 674,862.25
  5. Step 5: Solve for x
    x = 674,862.25/449.75
  6. Step 6: Final answer
    x = 1,500.53

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.