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Finding the Third Proportional to 300,558.75 and 449,896.13

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Solution

The third proportional to 300,558.75 and 449,896.13 is: 673,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,558.75 : 449,896.13 = 449,896.13 : x
  2. Step 2: Convert to fraction form
    300,558.75/449,896.13 = 449,896.13/x
  3. Step 3: Cross multiply
    300,558.75x = 449,896.13 × 449,896.13
  4. Step 4: Simplify right side
    300,558.75x = 202,406,523,290.02
  5. Step 5: Solve for x
    x = 202,406,523,290.02/300,558.75
  6. Step 6: Final answer
    x = 673,434.14

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Why These Related Problems?

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