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Finding the Third Proportional to 299,409.75 and 449,115.75

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Solution

The third proportional to 299,409.75 and 449,115.75 is: 673,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,409.75 : 449,115.75 = 449,115.75 : x
  2. Step 2: Convert to fraction form
    299,409.75/449,115.75 = 449,115.75/x
  3. Step 3: Cross multiply
    299,409.75x = 449,115.75 × 449,115.75
  4. Step 4: Simplify right side
    299,409.75x = 201,704,956,898.06
  5. Step 5: Solve for x
    x = 201,704,956,898.06/299,409.75
  6. Step 6: Final answer
    x = 673,675.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.