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Finding the Third Proportional to 321,349.50 and 751,021.88

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Solution

The third proportional to 321,349.50 and 751,021.88 is: 1,755,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,349.50 : 751,021.88 = 751,021.88 : x
  2. Step 2: Convert to fraction form
    321,349.50/751,021.88 = 751,021.88/x
  3. Step 3: Cross multiply
    321,349.50x = 751,021.88 × 751,021.88
  4. Step 4: Simplify right side
    321,349.50x = 564,033,856,728.52
  5. Step 5: Solve for x
    x = 564,033,856,728.52/321,349.50
  6. Step 6: Final answer
    x = 1,755,203.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.