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Finding the Third Proportional to 299,064 and 444,273

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Solution

The third proportional to 299,064 and 444,273 is: 659,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,064 : 444,273 = 444,273 : x
  2. Step 2: Convert to fraction form
    299,064/444,273 = 444,273/x
  3. Step 3: Cross multiply
    299,064x = 444,273 × 444,273
  4. Step 4: Simplify right side
    299,064x = 197,378,498,529
  5. Step 5: Solve for x
    x = 197,378,498,529/299,064
  6. Step 6: Final answer
    x = 659,987.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.