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Finding the Third Proportional to 227,129 and 477,796

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Solution

The third proportional to 227,129 and 477,796 is: 1,005,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,129 : 477,796 = 477,796 : x
  2. Step 2: Convert to fraction form
    227,129/477,796 = 477,796/x
  3. Step 3: Cross multiply
    227,129x = 477,796 × 477,796
  4. Step 4: Simplify right side
    227,129x = 228,289,017,616
  5. Step 5: Solve for x
    x = 228,289,017,616/227,129
  6. Step 6: Final answer
    x = 1,005,107.31

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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.