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Finding the Third Proportional to 260,222 and 541,221

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Solution

The third proportional to 260,222 and 541,221 is: 1,125,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,222 : 541,221 = 541,221 : x
  2. Step 2: Convert to fraction form
    260,222/541,221 = 541,221/x
  3. Step 3: Cross multiply
    260,222x = 541,221 × 541,221
  4. Step 4: Simplify right side
    260,222x = 292,920,170,841
  5. Step 5: Solve for x
    x = 292,920,170,841/260,222
  6. Step 6: Final answer
    x = 1,125,654.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.