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Finding the Third Proportional to 226,809 and 488,286

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Solution

The third proportional to 226,809 and 488,286 is: 1,051,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,809 : 488,286 = 488,286 : x
  2. Step 2: Convert to fraction form
    226,809/488,286 = 488,286/x
  3. Step 3: Cross multiply
    226,809x = 488,286 × 488,286
  4. Step 4: Simplify right side
    226,809x = 238,423,217,796
  5. Step 5: Solve for x
    x = 238,423,217,796/226,809
  6. Step 6: Final answer
    x = 1,051,207.04

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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.