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Finding the Third Proportional to 217,081 and 462,836

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Solution

The third proportional to 217,081 and 462,836 is: 986,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,081 : 462,836 = 462,836 : x
  2. Step 2: Convert to fraction form
    217,081/462,836 = 462,836/x
  3. Step 3: Cross multiply
    217,081x = 462,836 × 462,836
  4. Step 4: Simplify right side
    217,081x = 214,217,162,896
  5. Step 5: Solve for x
    x = 214,217,162,896/217,081
  6. Step 6: Final answer
    x = 986,807.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.