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Finding the Third Proportional to 300,894.75 and 655,755.75

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Solution

The third proportional to 300,894.75 and 655,755.75 is: 1,429,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,894.75 : 655,755.75 = 655,755.75 : x
  2. Step 2: Convert to fraction form
    300,894.75/655,755.75 = 655,755.75/x
  3. Step 3: Cross multiply
    300,894.75x = 655,755.75 × 655,755.75
  4. Step 4: Simplify right side
    300,894.75x = 430,015,603,658.06
  5. Step 5: Solve for x
    x = 430,015,603,658.06/300,894.75
  6. Step 6: Final answer
    x = 1,429,122.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.