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Finding the Third Proportional to 414.84 and 864.28

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Solution

The third proportional to 414.84 and 864.28 is: 1,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 864.28 = 864.28 : x
  2. Step 2: Convert to fraction form
    414.84/864.28 = 864.28/x
  3. Step 3: Cross multiply
    414.84x = 864.28 × 864.28
  4. Step 4: Simplify right side
    414.84x = 746,982.08
  5. Step 5: Solve for x
    x = 746,982.08/414.84
  6. Step 6: Final answer
    x = 1,800.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.