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Finding the Third Proportional to 204,978 and 440,586

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Solution

The third proportional to 204,978 and 440,586 is: 947,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,978 : 440,586 = 440,586 : x
  2. Step 2: Convert to fraction form
    204,978/440,586 = 440,586/x
  3. Step 3: Cross multiply
    204,978x = 440,586 × 440,586
  4. Step 4: Simplify right side
    204,978x = 194,116,023,396
  5. Step 5: Solve for x
    x = 194,116,023,396/204,978
  6. Step 6: Final answer
    x = 947,009.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.