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Finding the Third Proportional to 329,438.25 and 498,309.75

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Solution

The third proportional to 329,438.25 and 498,309.75 is: 753,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,438.25 : 498,309.75 = 498,309.75 : x
  2. Step 2: Convert to fraction form
    329,438.25/498,309.75 = 498,309.75/x
  3. Step 3: Cross multiply
    329,438.25x = 498,309.75 × 498,309.75
  4. Step 4: Simplify right side
    329,438.25x = 248,312,606,945.06
  5. Step 5: Solve for x
    x = 248,312,606,945.06/329,438.25
  6. Step 6: Final answer
    x = 753,745.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.