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Finding the Third Proportional to 328,944.75 and 683,745.75

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Solution

The third proportional to 328,944.75 and 683,745.75 is: 1,421,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,944.75 : 683,745.75 = 683,745.75 : x
  2. Step 2: Convert to fraction form
    328,944.75/683,745.75 = 683,745.75/x
  3. Step 3: Cross multiply
    328,944.75x = 683,745.75 × 683,745.75
  4. Step 4: Simplify right side
    328,944.75x = 467,508,250,643.06
  5. Step 5: Solve for x
    x = 467,508,250,643.06/328,944.75
  6. Step 6: Final answer
    x = 1,421,236.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.