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Finding the Third Proportional to 304,744.78 and 648,832.78

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Solution

The third proportional to 304,744.78 and 648,832.78 is: 1,381,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,744.78 : 648,832.78 = 648,832.78 : x
  2. Step 2: Convert to fraction form
    304,744.78/648,832.78 = 648,832.78/x
  3. Step 3: Cross multiply
    304,744.78x = 648,832.78 × 648,832.78
  4. Step 4: Simplify right side
    304,744.78x = 420,983,978,024.61
  5. Step 5: Solve for x
    x = 420,983,978,024.61/304,744.78
  6. Step 6: Final answer
    x = 1,381,431.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.