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Finding the Third Proportional to 396,738 and 595,971

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Solution

The third proportional to 396,738 and 595,971 is: 895,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,738 : 595,971 = 595,971 : x
  2. Step 2: Convert to fraction form
    396,738/595,971 = 595,971/x
  3. Step 3: Cross multiply
    396,738x = 595,971 × 595,971
  4. Step 4: Simplify right side
    396,738x = 355,181,432,841
  5. Step 5: Solve for x
    x = 355,181,432,841/396,738
  6. Step 6: Final answer
    x = 895,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.