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Finding the Third Proportional to 396,913 and 596,264

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Solution

The third proportional to 396,913 and 596,264 is: 895,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,913 : 596,264 = 596,264 : x
  2. Step 2: Convert to fraction form
    396,913/596,264 = 596,264/x
  3. Step 3: Cross multiply
    396,913x = 596,264 × 596,264
  4. Step 4: Simplify right side
    396,913x = 355,530,757,696
  5. Step 5: Solve for x
    x = 355,530,757,696/396,913
  6. Step 6: Final answer
    x = 895,739.77

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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.