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Finding the Third Proportional to 354,491.44 and 531,997.88

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Solution

The third proportional to 354,491.44 and 531,997.88 is: 798,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,491.44 : 531,997.88 = 531,997.88 : x
  2. Step 2: Convert to fraction form
    354,491.44/531,997.88 = 531,997.88/x
  3. Step 3: Cross multiply
    354,491.44x = 531,997.88 × 531,997.88
  4. Step 4: Simplify right side
    354,491.44x = 283,021,739,004.52
  5. Step 5: Solve for x
    x = 283,021,739,004.52/354,491.44
  6. Step 6: Final answer
    x = 798,388.08

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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.