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Finding the Third Proportional to 339,009.75 and 738,294.75

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Solution

The third proportional to 339,009.75 and 738,294.75 is: 1,607,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,009.75 : 738,294.75 = 738,294.75 : x
  2. Step 2: Convert to fraction form
    339,009.75/738,294.75 = 738,294.75/x
  3. Step 3: Cross multiply
    339,009.75x = 738,294.75 × 738,294.75
  4. Step 4: Simplify right side
    339,009.75x = 545,079,137,877.56
  5. Step 5: Solve for x
    x = 545,079,137,877.56/339,009.75
  6. Step 6: Final answer
    x = 1,607,856.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.