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Finding the Third Proportional to 299,127.94 and 448,910.44

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Solution

The third proportional to 299,127.94 and 448,910.44 is: 673,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.94 : 448,910.44 = 448,910.44 : x
  2. Step 2: Convert to fraction form
    299,127.94/448,910.44 = 448,910.44/x
  3. Step 3: Cross multiply
    299,127.94x = 448,910.44 × 448,910.44
  4. Step 4: Simplify right side
    299,127.94x = 201,520,580,896.44
  5. Step 5: Solve for x
    x = 201,520,580,896.44/299,127.94
  6. Step 6: Final answer
    x = 673,693.61

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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.