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Finding the Third Proportional to 220,831 and 476,654

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Solution

The third proportional to 220,831 and 476,654 is: 1,028,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,831 : 476,654 = 476,654 : x
  2. Step 2: Convert to fraction form
    220,831/476,654 = 476,654/x
  3. Step 3: Cross multiply
    220,831x = 476,654 × 476,654
  4. Step 4: Simplify right side
    220,831x = 227,199,035,716
  5. Step 5: Solve for x
    x = 227,199,035,716/220,831
  6. Step 6: Final answer
    x = 1,028,836.69

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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.