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Finding the Third Proportional to 637.56 and 1,344.73

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Solution

The third proportional to 637.56 and 1,344.73 is: 2,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.56 : 1,344.73 = 1,344.73 : x
  2. Step 2: Convert to fraction form
    637.56/1,344.73 = 1,344.73/x
  3. Step 3: Cross multiply
    637.56x = 1,344.73 × 1,344.73
  4. Step 4: Simplify right side
    637.56x = 1,808,289.53
  5. Step 5: Solve for x
    x = 1,808,289.53/637.56
  6. Step 6: Final answer
    x = 2,836.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.