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Finding the Third Proportional to 218,794 and 452,754

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Solution

The third proportional to 218,794 and 452,754 is: 936,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794 : 452,754 = 452,754 : x
  2. Step 2: Convert to fraction form
    218,794/452,754 = 452,754/x
  3. Step 3: Cross multiply
    218,794x = 452,754 × 452,754
  4. Step 4: Simplify right side
    218,794x = 204,986,184,516
  5. Step 5: Solve for x
    x = 204,986,184,516/218,794
  6. Step 6: Final answer
    x = 936,891.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.