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Finding the Third Proportional to 453.56 and 966.56

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Solution

The third proportional to 453.56 and 966.56 is: 2,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.56 : 966.56 = 966.56 : x
  2. Step 2: Convert to fraction form
    453.56/966.56 = 966.56/x
  3. Step 3: Cross multiply
    453.56x = 966.56 × 966.56
  4. Step 4: Simplify right side
    453.56x = 934,243.07
  5. Step 5: Solve for x
    x = 934,243.07/453.56
  6. Step 6: Final answer
    x = 2,059.79

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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.