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Finding the Third Proportional to 396,963 and 596,345

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Solution

The third proportional to 396,963 and 596,345 is: 895,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,963 : 596,345 = 596,345 : x
  2. Step 2: Convert to fraction form
    396,963/596,345 = 596,345/x
  3. Step 3: Cross multiply
    396,963x = 596,345 × 596,345
  4. Step 4: Simplify right side
    396,963x = 355,627,359,025
  5. Step 5: Solve for x
    x = 355,627,359,025/396,963
  6. Step 6: Final answer
    x = 895,870.29

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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.