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Finding the Third Proportional to 339,768.56 and 509,625.56

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Solution

The third proportional to 339,768.56 and 509,625.56 is: 764,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,768.56 : 509,625.56 = 509,625.56 : x
  2. Step 2: Convert to fraction form
    339,768.56/509,625.56 = 509,625.56/x
  3. Step 3: Cross multiply
    339,768.56x = 509,625.56 × 509,625.56
  4. Step 4: Simplify right side
    339,768.56x = 259,718,213,953.44
  5. Step 5: Solve for x
    x = 259,718,213,953.44/339,768.56
  6. Step 6: Final answer
    x = 764,397.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.