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Finding the Third Proportional to 325,739.25 and 498,296.25

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Solution

The third proportional to 325,739.25 and 498,296.25 is: 762,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,739.25 : 498,296.25 = 498,296.25 : x
  2. Step 2: Convert to fraction form
    325,739.25/498,296.25 = 498,296.25/x
  3. Step 3: Cross multiply
    325,739.25x = 498,296.25 × 498,296.25
  4. Step 4: Simplify right side
    325,739.25x = 248,299,152,764.06
  5. Step 5: Solve for x
    x = 248,299,152,764.06/325,739.25
  6. Step 6: Final answer
    x = 762,263.54

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.