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Finding the Third Proportional to 226,962 and 488,935

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Solution

The third proportional to 226,962 and 488,935 is: 1,053,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,962 : 488,935 = 488,935 : x
  2. Step 2: Convert to fraction form
    226,962/488,935 = 488,935/x
  3. Step 3: Cross multiply
    226,962x = 488,935 × 488,935
  4. Step 4: Simplify right side
    226,962x = 239,057,434,225
  5. Step 5: Solve for x
    x = 239,057,434,225/226,962
  6. Step 6: Final answer
    x = 1,053,292.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.