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Finding the Third Proportional to 854.30 and 1,247.27

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Solution

The third proportional to 854.30 and 1,247.27 is: 1,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.30 : 1,247.27 = 1,247.27 : x
  2. Step 2: Convert to fraction form
    854.30/1,247.27 = 1,247.27/x
  3. Step 3: Cross multiply
    854.30x = 1,247.27 × 1,247.27
  4. Step 4: Simplify right side
    854.30x = 1,555,691.03
  5. Step 5: Solve for x
    x = 1,555,691.03/854.30
  6. Step 6: Final answer
    x = 1,821.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.