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Finding the Third Proportional to 311,658.47 and 682,432.59

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Solution

The third proportional to 311,658.47 and 682,432.59 is: 1,494,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,658.47 : 682,432.59 = 682,432.59 : x
  2. Step 2: Convert to fraction form
    311,658.47/682,432.59 = 682,432.59/x
  3. Step 3: Cross multiply
    311,658.47x = 682,432.59 × 682,432.59
  4. Step 4: Simplify right side
    311,658.47x = 465,714,245,012.35
  5. Step 5: Solve for x
    x = 465,714,245,012.35/311,658.47
  6. Step 6: Final answer
    x = 1,494,309.61

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