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Finding the Third Proportional to 299,611.41 and 644,895.42

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Solution

The third proportional to 299,611.41 and 644,895.42 is: 1,388,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,611.41 : 644,895.42 = 644,895.42 : x
  2. Step 2: Convert to fraction form
    299,611.41/644,895.42 = 644,895.42/x
  3. Step 3: Cross multiply
    299,611.41x = 644,895.42 × 644,895.42
  4. Step 4: Simplify right side
    299,611.41x = 415,890,105,155.33
  5. Step 5: Solve for x
    x = 415,890,105,155.33/299,611.41
  6. Step 6: Final answer
    x = 1,388,098.37

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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.