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Finding the Third Proportional to 226,107 and 491,580

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Solution

The third proportional to 226,107 and 491,580 is: 1,068,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,107 : 491,580 = 491,580 : x
  2. Step 2: Convert to fraction form
    226,107/491,580 = 491,580/x
  3. Step 3: Cross multiply
    226,107x = 491,580 × 491,580
  4. Step 4: Simplify right side
    226,107x = 241,650,896,400
  5. Step 5: Solve for x
    x = 241,650,896,400/226,107
  6. Step 6: Final answer
    x = 1,068,745.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.