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Finding the Third Proportional to 396,328.50 and 935,408.25

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Solution

The third proportional to 396,328.50 and 935,408.25 is: 2,207,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,328.50 : 935,408.25 = 935,408.25 : x
  2. Step 2: Convert to fraction form
    396,328.50/935,408.25 = 935,408.25/x
  3. Step 3: Cross multiply
    396,328.50x = 935,408.25 × 935,408.25
  4. Step 4: Simplify right side
    396,328.50x = 874,988,594,168.06
  5. Step 5: Solve for x
    x = 874,988,594,168.06/396,328.50
  6. Step 6: Final answer
    x = 2,207,735.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.