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Finding the Third Proportional to 299,141 and 444,015

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Solution

The third proportional to 299,141 and 444,015 is: 659,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,141 : 444,015 = 444,015 : x
  2. Step 2: Convert to fraction form
    299,141/444,015 = 444,015/x
  3. Step 3: Cross multiply
    299,141x = 444,015 × 444,015
  4. Step 4: Simplify right side
    299,141x = 197,149,320,225
  5. Step 5: Solve for x
    x = 197,149,320,225/299,141
  6. Step 6: Final answer
    x = 659,051.48

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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.