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Finding the Third Proportional to 227,104.88 and 477,733.50

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Solution

The third proportional to 227,104.88 and 477,733.50 is: 1,004,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,104.88 : 477,733.50 = 477,733.50 : x
  2. Step 2: Convert to fraction form
    227,104.88/477,733.50 = 477,733.50/x
  3. Step 3: Cross multiply
    227,104.88x = 477,733.50 × 477,733.50
  4. Step 4: Simplify right side
    227,104.88x = 228,229,297,022.25
  5. Step 5: Solve for x
    x = 228,229,297,022.25/227,104.88
  6. Step 6: Final answer
    x = 1,004,951.11

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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.