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Finding the Third Proportional to 311,682.50 and 673,188

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Solution

The third proportional to 311,682.50 and 673,188 is: 1,453,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682.50 : 673,188 = 673,188 : x
  2. Step 2: Convert to fraction form
    311,682.50/673,188 = 673,188/x
  3. Step 3: Cross multiply
    311,682.50x = 673,188 × 673,188
  4. Step 4: Simplify right side
    311,682.50x = 453,182,083,344
  5. Step 5: Solve for x
    x = 453,182,083,344/311,682.50
  6. Step 6: Final answer
    x = 1,453,986.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.