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Finding the Third Proportional to 220,852 and 476,672

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Solution

The third proportional to 220,852 and 476,672 is: 1,028,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,852 : 476,672 = 476,672 : x
  2. Step 2: Convert to fraction form
    220,852/476,672 = 476,672/x
  3. Step 3: Cross multiply
    220,852x = 476,672 × 476,672
  4. Step 4: Simplify right side
    220,852x = 227,216,195,584
  5. Step 5: Solve for x
    x = 227,216,195,584/220,852
  6. Step 6: Final answer
    x = 1,028,816.56

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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.