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Finding the Third Proportional to 220,871.25 and 476,997.75

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Solution

The third proportional to 220,871.25 and 476,997.75 is: 1,030,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,871.25 : 476,997.75 = 476,997.75 : x
  2. Step 2: Convert to fraction form
    220,871.25/476,997.75 = 476,997.75/x
  3. Step 3: Cross multiply
    220,871.25x = 476,997.75 × 476,997.75
  4. Step 4: Simplify right side
    220,871.25x = 227,526,853,505.06
  5. Step 5: Solve for x
    x = 227,526,853,505.06/220,871.25
  6. Step 6: Final answer
    x = 1,030,133.41

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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.