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Finding the Third Proportional to 268,611 and 574,098

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Solution

The third proportional to 268,611 and 574,098 is: 1,227,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,611 : 574,098 = 574,098 : x
  2. Step 2: Convert to fraction form
    268,611/574,098 = 574,098/x
  3. Step 3: Cross multiply
    268,611x = 574,098 × 574,098
  4. Step 4: Simplify right side
    268,611x = 329,588,513,604
  5. Step 5: Solve for x
    x = 329,588,513,604/268,611
  6. Step 6: Final answer
    x = 1,227,010.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.