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Finding the Third Proportional to 339,414.19 and 743,635.13

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Solution

The third proportional to 339,414.19 and 743,635.13 is: 1,629,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,414.19 : 743,635.13 = 743,635.13 : x
  2. Step 2: Convert to fraction form
    339,414.19/743,635.13 = 743,635.13/x
  3. Step 3: Cross multiply
    339,414.19x = 743,635.13 × 743,635.13
  4. Step 4: Simplify right side
    339,414.19x = 552,993,199,133.77
  5. Step 5: Solve for x
    x = 552,993,199,133.77/339,414.19
  6. Step 6: Final answer
    x = 1,629,257.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.