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Finding the Third Proportional to 220,817 and 476,626

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Solution

The third proportional to 220,817 and 476,626 is: 1,028,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,817 : 476,626 = 476,626 : x
  2. Step 2: Convert to fraction form
    220,817/476,626 = 476,626/x
  3. Step 3: Cross multiply
    220,817x = 476,626 × 476,626
  4. Step 4: Simplify right side
    220,817x = 227,172,343,876
  5. Step 5: Solve for x
    x = 227,172,343,876/220,817
  6. Step 6: Final answer
    x = 1,028,781.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.