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Finding the Third Proportional to 321,355.50 and 751,035.75

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Solution

The third proportional to 321,355.50 and 751,035.75 is: 1,755,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,355.50 : 751,035.75 = 751,035.75 : x
  2. Step 2: Convert to fraction form
    321,355.50/751,035.75 = 751,035.75/x
  3. Step 3: Cross multiply
    321,355.50x = 751,035.75 × 751,035.75
  4. Step 4: Simplify right side
    321,355.50x = 564,054,697,778.06
  5. Step 5: Solve for x
    x = 564,054,697,778.06/321,355.50
  6. Step 6: Final answer
    x = 1,755,235.86

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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.