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Finding the Third Proportional to 227,072.11 and 477,671.55

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Solution

The third proportional to 227,072.11 and 477,671.55 is: 1,004,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,072.11 : 477,671.55 = 477,671.55 : x
  2. Step 2: Convert to fraction form
    227,072.11/477,671.55 = 477,671.55/x
  3. Step 3: Cross multiply
    227,072.11x = 477,671.55 × 477,671.55
  4. Step 4: Simplify right side
    227,072.11x = 228,170,114,157.57
  5. Step 5: Solve for x
    x = 228,170,114,157.57/227,072.11
  6. Step 6: Final answer
    x = 1,004,835.49

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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.