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Finding the Third Proportional to 299,311 and 448,975

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Solution

The third proportional to 299,311 and 448,975 is: 673,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311 : 448,975 = 448,975 : x
  2. Step 2: Convert to fraction form
    299,311/448,975 = 448,975/x
  3. Step 3: Cross multiply
    299,311x = 448,975 × 448,975
  4. Step 4: Simplify right side
    299,311x = 201,578,550,625
  5. Step 5: Solve for x
    x = 201,578,550,625/299,311
  6. Step 6: Final answer
    x = 673,475.25

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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.