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Finding the Third Proportional to 493.27 and 1,063.43

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Solution

The third proportional to 493.27 and 1,063.43 is: 2,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.27 : 1,063.43 = 1,063.43 : x
  2. Step 2: Convert to fraction form
    493.27/1,063.43 = 1,063.43/x
  3. Step 3: Cross multiply
    493.27x = 1,063.43 × 1,063.43
  4. Step 4: Simplify right side
    493.27x = 1,130,882.70
  5. Step 5: Solve for x
    x = 1,130,882.70/493.27
  6. Step 6: Final answer
    x = 2,292.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.