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Finding the Third Proportional to 612.14 and 1,324.27

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Solution

The third proportional to 612.14 and 1,324.27 is: 2,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 1,324.27 = 1,324.27 : x
  2. Step 2: Convert to fraction form
    612.14/1,324.27 = 1,324.27/x
  3. Step 3: Cross multiply
    612.14x = 1,324.27 × 1,324.27
  4. Step 4: Simplify right side
    612.14x = 1,753,679.45
  5. Step 5: Solve for x
    x = 1,753,679.45/612.14
  6. Step 6: Final answer
    x = 2,864.83

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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.