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Finding the Third Proportional to 453.52 and 993.52

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Solution

The third proportional to 453.52 and 993.52 is: 2,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 993.52 = 993.52 : x
  2. Step 2: Convert to fraction form
    453.52/993.52 = 993.52/x
  3. Step 3: Cross multiply
    453.52x = 993.52 × 993.52
  4. Step 4: Simplify right side
    453.52x = 987,073.30
  5. Step 5: Solve for x
    x = 987,073.30/453.52
  6. Step 6: Final answer
    x = 2,176.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.