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Finding the Third Proportional to 271,978 and 592,344

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Solution

The third proportional to 271,978 and 592,344 is: 1,290,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,978 : 592,344 = 592,344 : x
  2. Step 2: Convert to fraction form
    271,978/592,344 = 592,344/x
  3. Step 3: Cross multiply
    271,978x = 592,344 × 592,344
  4. Step 4: Simplify right side
    271,978x = 350,871,414,336
  5. Step 5: Solve for x
    x = 350,871,414,336/271,978
  6. Step 6: Final answer
    x = 1,290,072.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.