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Finding the Third Proportional to 261,738 and 415,125

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Solution

The third proportional to 261,738 and 415,125 is: 658,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,738 : 415,125 = 415,125 : x
  2. Step 2: Convert to fraction form
    261,738/415,125 = 415,125/x
  3. Step 3: Cross multiply
    261,738x = 415,125 × 415,125
  4. Step 4: Simplify right side
    261,738x = 172,328,765,625
  5. Step 5: Solve for x
    x = 172,328,765,625/261,738
  6. Step 6: Final answer
    x = 658,401.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.