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Finding the Third Proportional to 854.44 and 1,467.56

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Solution

The third proportional to 854.44 and 1,467.56 is: 2,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.44 : 1,467.56 = 1,467.56 : x
  2. Step 2: Convert to fraction form
    854.44/1,467.56 = 1,467.56/x
  3. Step 3: Cross multiply
    854.44x = 1,467.56 × 1,467.56
  4. Step 4: Simplify right side
    854.44x = 2,153,739.69
  5. Step 5: Solve for x
    x = 2,153,739.69/854.44
  6. Step 6: Final answer
    x = 2,520.65

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.