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Finding the Third Proportional to 299,520.56 and 644,711.63

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Solution

The third proportional to 299,520.56 and 644,711.63 is: 1,387,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,520.56 : 644,711.63 = 644,711.63 : x
  2. Step 2: Convert to fraction form
    299,520.56/644,711.63 = 644,711.63/x
  3. Step 3: Cross multiply
    299,520.56x = 644,711.63 × 644,711.63
  4. Step 4: Simplify right side
    299,520.56x = 415,653,079,410.14
  5. Step 5: Solve for x
    x = 415,653,079,410.14/299,520.56
  6. Step 6: Final answer
    x = 1,387,728.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.