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Finding the Third Proportional to 453.55 and 993.54

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Solution

The third proportional to 453.55 and 993.54 is: 2,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.55 : 993.54 = 993.54 : x
  2. Step 2: Convert to fraction form
    453.55/993.54 = 993.54/x
  3. Step 3: Cross multiply
    453.55x = 993.54 × 993.54
  4. Step 4: Simplify right side
    453.55x = 987,112.59
  5. Step 5: Solve for x
    x = 987,112.59/453.55
  6. Step 6: Final answer
    x = 2,176.42

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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.