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Finding the Third Proportional to 521.44 and 1,133.63

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Solution

The third proportional to 521.44 and 1,133.63 is: 2,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 1,133.63 = 1,133.63 : x
  2. Step 2: Convert to fraction form
    521.44/1,133.63 = 1,133.63/x
  3. Step 3: Cross multiply
    521.44x = 1,133.63 × 1,133.63
  4. Step 4: Simplify right side
    521.44x = 1,285,105.64
  5. Step 5: Solve for x
    x = 1,285,105.64/521.44
  6. Step 6: Final answer
    x = 2,464.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.