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Finding the Third Proportional to 396,683 and 595,889

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Solution

The third proportional to 396,683 and 595,889 is: 895,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,683 : 595,889 = 595,889 : x
  2. Step 2: Convert to fraction form
    396,683/595,889 = 595,889/x
  3. Step 3: Cross multiply
    396,683x = 595,889 × 595,889
  4. Step 4: Simplify right side
    396,683x = 355,083,700,321
  5. Step 5: Solve for x
    x = 355,083,700,321/396,683
  6. Step 6: Final answer
    x = 895,132.13

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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.