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Finding the Third Proportional to 277,428.75 and 606,224.75

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Solution

The third proportional to 277,428.75 and 606,224.75 is: 1,324,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,428.75 : 606,224.75 = 606,224.75 : x
  2. Step 2: Convert to fraction form
    277,428.75/606,224.75 = 606,224.75/x
  3. Step 3: Cross multiply
    277,428.75x = 606,224.75 × 606,224.75
  4. Step 4: Simplify right side
    277,428.75x = 367,508,447,512.56
  5. Step 5: Solve for x
    x = 367,508,447,512.56/277,428.75
  6. Step 6: Final answer
    x = 1,324,694.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.