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Finding the Third Proportional to 462.56 and 993.44

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Solution

The third proportional to 462.56 and 993.44 is: 2,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 993.44 = 993.44 : x
  2. Step 2: Convert to fraction form
    462.56/993.44 = 993.44/x
  3. Step 3: Cross multiply
    462.56x = 993.44 × 993.44
  4. Step 4: Simplify right side
    462.56x = 986,918.07
  5. Step 5: Solve for x
    x = 986,918.07/462.56
  6. Step 6: Final answer
    x = 2,133.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.