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Finding the Third Proportional to 218,526 and 479,856

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Solution

The third proportional to 218,526 and 479,856 is: 1,053,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,526 : 479,856 = 479,856 : x
  2. Step 2: Convert to fraction form
    218,526/479,856 = 479,856/x
  3. Step 3: Cross multiply
    218,526x = 479,856 × 479,856
  4. Step 4: Simplify right side
    218,526x = 230,261,780,736
  5. Step 5: Solve for x
    x = 230,261,780,736/218,526
  6. Step 6: Final answer
    x = 1,053,704.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.