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Finding the Third Proportional to 299,072.25 and 448,608.38

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Solution

The third proportional to 299,072.25 and 448,608.38 is: 672,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,072.25 : 448,608.38 = 448,608.38 : x
  2. Step 2: Convert to fraction form
    299,072.25/448,608.38 = 448,608.38/x
  3. Step 3: Cross multiply
    299,072.25x = 448,608.38 × 448,608.38
  4. Step 4: Simplify right side
    299,072.25x = 201,249,474,120.14
  5. Step 5: Solve for x
    x = 201,249,474,120.14/299,072.25
  6. Step 6: Final answer
    x = 672,912.56

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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.