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Finding the Third Proportional to 453.66 and 967.97

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Solution

The third proportional to 453.66 and 967.97 is: 2,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.66 : 967.97 = 967.97 : x
  2. Step 2: Convert to fraction form
    453.66/967.97 = 967.97/x
  3. Step 3: Cross multiply
    453.66x = 967.97 × 967.97
  4. Step 4: Simplify right side
    453.66x = 936,963.50
  5. Step 5: Solve for x
    x = 936,963.50/453.66
  6. Step 6: Final answer
    x = 2,065.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.