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Finding the Third Proportional to 396,946 and 595,491

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Solution

The third proportional to 396,946 and 595,491 is: 893,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,946 : 595,491 = 595,491 : x
  2. Step 2: Convert to fraction form
    396,946/595,491 = 595,491/x
  3. Step 3: Cross multiply
    396,946x = 595,491 × 595,491
  4. Step 4: Simplify right side
    396,946x = 354,609,531,081
  5. Step 5: Solve for x
    x = 354,609,531,081/396,946
  6. Step 6: Final answer
    x = 893,344.51

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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.