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Finding the Third Proportional to 299,147 and 444,023

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Solution

The third proportional to 299,147 and 444,023 is: 659,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147 : 444,023 = 444,023 : x
  2. Step 2: Convert to fraction form
    299,147/444,023 = 444,023/x
  3. Step 3: Cross multiply
    299,147x = 444,023 × 444,023
  4. Step 4: Simplify right side
    299,147x = 197,156,424,529
  5. Step 5: Solve for x
    x = 197,156,424,529/299,147
  6. Step 6: Final answer
    x = 659,062.01

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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.