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Finding the Third Proportional to 450 and 664.13

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Solution

The third proportional to 450 and 664.13 is: 980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 664.13 = 664.13 : x
  2. Step 2: Convert to fraction form
    450/664.13 = 664.13/x
  3. Step 3: Cross multiply
    450x = 664.13 × 664.13
  4. Step 4: Simplify right side
    450x = 441,062.02
  5. Step 5: Solve for x
    x = 441,062.02/450
  6. Step 6: Final answer
    x = 980.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.