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Finding the Third Proportional to 231,162 and 477,828

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Solution

The third proportional to 231,162 and 477,828 is: 987,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,162 : 477,828 = 477,828 : x
  2. Step 2: Convert to fraction form
    231,162/477,828 = 477,828/x
  3. Step 3: Cross multiply
    231,162x = 477,828 × 477,828
  4. Step 4: Simplify right side
    231,162x = 228,319,597,584
  5. Step 5: Solve for x
    x = 228,319,597,584/231,162
  6. Step 6: Final answer
    x = 987,703.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.