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Finding the Third Proportional to 303,279.75 and 649,161.75

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Solution

The third proportional to 303,279.75 and 649,161.75 is: 1,389,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,279.75 : 649,161.75 = 649,161.75 : x
  2. Step 2: Convert to fraction form
    303,279.75/649,161.75 = 649,161.75/x
  3. Step 3: Cross multiply
    303,279.75x = 649,161.75 × 649,161.75
  4. Step 4: Simplify right side
    303,279.75x = 421,410,977,663.06
  5. Step 5: Solve for x
    x = 421,410,977,663.06/303,279.75
  6. Step 6: Final answer
    x = 1,389,512.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.