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Finding the Third Proportional to 320,949.84 and 677,704.22

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Solution

The third proportional to 320,949.84 and 677,704.22 is: 1,431,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,949.84 : 677,704.22 = 677,704.22 : x
  2. Step 2: Convert to fraction form
    320,949.84/677,704.22 = 677,704.22/x
  3. Step 3: Cross multiply
    320,949.84x = 677,704.22 × 677,704.22
  4. Step 4: Simplify right side
    320,949.84x = 459,283,008,111.55
  5. Step 5: Solve for x
    x = 459,283,008,111.55/320,949.84
  6. Step 6: Final answer
    x = 1,431,011.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.