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Finding the Third Proportional to 227,202 and 477,907

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Solution

The third proportional to 227,202 and 477,907 is: 1,005,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,202 : 477,907 = 477,907 : x
  2. Step 2: Convert to fraction form
    227,202/477,907 = 477,907/x
  3. Step 3: Cross multiply
    227,202x = 477,907 × 477,907
  4. Step 4: Simplify right side
    227,202x = 228,395,100,649
  5. Step 5: Solve for x
    x = 228,395,100,649/227,202
  6. Step 6: Final answer
    x = 1,005,251.28

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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.