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Finding the Third Proportional to 322,744.50 and 682,404.75

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Solution

The third proportional to 322,744.50 and 682,404.75 is: 1,442,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,744.50 : 682,404.75 = 682,404.75 : x
  2. Step 2: Convert to fraction form
    322,744.50/682,404.75 = 682,404.75/x
  3. Step 3: Cross multiply
    322,744.50x = 682,404.75 × 682,404.75
  4. Step 4: Simplify right side
    322,744.50x = 465,676,242,822.56
  5. Step 5: Solve for x
    x = 465,676,242,822.56/322,744.50
  6. Step 6: Final answer
    x = 1,442,863.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.