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Finding the Third Proportional to 836.58 and 1,324.27

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Solution

The third proportional to 836.58 and 1,324.27 is: 2,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.58 : 1,324.27 = 1,324.27 : x
  2. Step 2: Convert to fraction form
    836.58/1,324.27 = 1,324.27/x
  3. Step 3: Cross multiply
    836.58x = 1,324.27 × 1,324.27
  4. Step 4: Simplify right side
    836.58x = 1,753,679.45
  5. Step 5: Solve for x
    x = 1,753,679.45/836.58
  6. Step 6: Final answer
    x = 2,096.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.