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Finding the Third Proportional to 419,754.75 and 665,664.38

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Solution

The third proportional to 419,754.75 and 665,664.38 is: 1,055,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,754.75 : 665,664.38 = 665,664.38 : x
  2. Step 2: Convert to fraction form
    419,754.75/665,664.38 = 665,664.38/x
  3. Step 3: Cross multiply
    419,754.75x = 665,664.38 × 665,664.38
  4. Step 4: Simplify right side
    419,754.75x = 443,109,060,144.14
  5. Step 5: Solve for x
    x = 443,109,060,144.14/419,754.75
  6. Step 6: Final answer
    x = 1,055,637.99

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