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Finding the Third Proportional to 299,172 and 448,976

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Solution

The third proportional to 299,172 and 448,976 is: 673,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,172 : 448,976 = 448,976 : x
  2. Step 2: Convert to fraction form
    299,172/448,976 = 448,976/x
  3. Step 3: Cross multiply
    299,172x = 448,976 × 448,976
  4. Step 4: Simplify right side
    299,172x = 201,579,448,576
  5. Step 5: Solve for x
    x = 201,579,448,576/299,172
  6. Step 6: Final answer
    x = 673,791.16

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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.