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Finding the Third Proportional to 513,717.75 and 813,408.75

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Solution

The third proportional to 513,717.75 and 813,408.75 is: 1,287,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,717.75 : 813,408.75 = 813,408.75 : x
  2. Step 2: Convert to fraction form
    513,717.75/813,408.75 = 813,408.75/x
  3. Step 3: Cross multiply
    513,717.75x = 813,408.75 × 813,408.75
  4. Step 4: Simplify right side
    513,717.75x = 661,633,794,576.56
  5. Step 5: Solve for x
    x = 661,633,794,576.56/513,717.75
  6. Step 6: Final answer
    x = 1,287,932.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.