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Finding the Third Proportional to 299,983.50 and 481,634.44

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Solution

The third proportional to 299,983.50 and 481,634.44 is: 773,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,983.50 : 481,634.44 = 481,634.44 : x
  2. Step 2: Convert to fraction form
    299,983.50/481,634.44 = 481,634.44/x
  3. Step 3: Cross multiply
    299,983.50x = 481,634.44 × 481,634.44
  4. Step 4: Simplify right side
    299,983.50x = 231,971,731,385.94
  5. Step 5: Solve for x
    x = 231,971,731,385.94/299,983.50
  6. Step 6: Final answer
    x = 773,281.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.