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Finding the Third Proportional to 299,144 and 444,019

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Solution

The third proportional to 299,144 and 444,019 is: 659,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,144 : 444,019 = 444,019 : x
  2. Step 2: Convert to fraction form
    299,144/444,019 = 444,019/x
  3. Step 3: Cross multiply
    299,144x = 444,019 × 444,019
  4. Step 4: Simplify right side
    299,144x = 197,152,872,361
  5. Step 5: Solve for x
    x = 197,152,872,361/299,144
  6. Step 6: Final answer
    x = 659,056.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.