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Finding the Third Proportional to 227,198.75 and 477,901

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Solution

The third proportional to 227,198.75 and 477,901 is: 1,005,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,198.75 : 477,901 = 477,901 : x
  2. Step 2: Convert to fraction form
    227,198.75/477,901 = 477,901/x
  3. Step 3: Cross multiply
    227,198.75x = 477,901 × 477,901
  4. Step 4: Simplify right side
    227,198.75x = 228,389,365,801
  5. Step 5: Solve for x
    x = 228,389,365,801/227,198.75
  6. Step 6: Final answer
    x = 1,005,240.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.