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Finding the Third Proportional to 316,408.50 and 682,542

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Solution

The third proportional to 316,408.50 and 682,542 is: 1,472,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,408.50 : 682,542 = 682,542 : x
  2. Step 2: Convert to fraction form
    316,408.50/682,542 = 682,542/x
  3. Step 3: Cross multiply
    316,408.50x = 682,542 × 682,542
  4. Step 4: Simplify right side
    316,408.50x = 465,863,581,764
  5. Step 5: Solve for x
    x = 465,863,581,764/316,408.50
  6. Step 6: Final answer
    x = 1,472,348.50

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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.