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Finding the Third Proportional to 298,834 and 449,388

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Solution

The third proportional to 298,834 and 449,388 is: 675,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,834 : 449,388 = 449,388 : x
  2. Step 2: Convert to fraction form
    298,834/449,388 = 449,388/x
  3. Step 3: Cross multiply
    298,834x = 449,388 × 449,388
  4. Step 4: Simplify right side
    298,834x = 201,949,574,544
  5. Step 5: Solve for x
    x = 201,949,574,544/298,834
  6. Step 6: Final answer
    x = 675,791.83

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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.