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Finding the Third Proportional to 217,485 and 441,081

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Solution

The third proportional to 217,485 and 441,081 is: 894,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,485 : 441,081 = 441,081 : x
  2. Step 2: Convert to fraction form
    217,485/441,081 = 441,081/x
  3. Step 3: Cross multiply
    217,485x = 441,081 × 441,081
  4. Step 4: Simplify right side
    217,485x = 194,552,448,561
  5. Step 5: Solve for x
    x = 194,552,448,561/217,485
  6. Step 6: Final answer
    x = 894,555.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.