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Finding the Third Proportional to 218,724 and 454,896

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Solution

The third proportional to 218,724 and 454,896 is: 946,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,724 : 454,896 = 454,896 : x
  2. Step 2: Convert to fraction form
    218,724/454,896 = 454,896/x
  3. Step 3: Cross multiply
    218,724x = 454,896 × 454,896
  4. Step 4: Simplify right side
    218,724x = 206,930,370,816
  5. Step 5: Solve for x
    x = 206,930,370,816/218,724
  6. Step 6: Final answer
    x = 946,079.86

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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.