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Finding the Third Proportional to 299,400.75 and 447,918.75

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Solution

The third proportional to 299,400.75 and 447,918.75 is: 670,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,400.75 : 447,918.75 = 447,918.75 : x
  2. Step 2: Convert to fraction form
    299,400.75/447,918.75 = 447,918.75/x
  3. Step 3: Cross multiply
    299,400.75x = 447,918.75 × 447,918.75
  4. Step 4: Simplify right side
    299,400.75x = 200,631,206,601.56
  5. Step 5: Solve for x
    x = 200,631,206,601.56/299,400.75
  6. Step 6: Final answer
    x = 670,109.23

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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.