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Finding the Third Proportional to 227,106 and 477,727

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Solution

The third proportional to 227,106 and 477,727 is: 1,004,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,106 : 477,727 = 477,727 : x
  2. Step 2: Convert to fraction form
    227,106/477,727 = 477,727/x
  3. Step 3: Cross multiply
    227,106x = 477,727 × 477,727
  4. Step 4: Simplify right side
    227,106x = 228,223,086,529
  5. Step 5: Solve for x
    x = 228,223,086,529/227,106
  6. Step 6: Final answer
    x = 1,004,918.79

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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.