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Finding the Third Proportional to 705,296.75 and 1,664,664.75

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Solution

The third proportional to 705,296.75 and 1,664,664.75 is: 3,928,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,296.75 : 1,664,664.75 = 1,664,664.75 : x
  2. Step 2: Convert to fraction form
    705,296.75/1,664,664.75 = 1,664,664.75/x
  3. Step 3: Cross multiply
    705,296.75x = 1,664,664.75 × 1,664,664.75
  4. Step 4: Simplify right side
    705,296.75x = 2,771,108,729,892.56
  5. Step 5: Solve for x
    x = 2,771,108,729,892.56/705,296.75
  6. Step 6: Final answer
    x = 3,928,996.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.