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Finding the Third Proportional to 396,077 and 596,006

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Solution

The third proportional to 396,077 and 596,006 is: 896,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,077 : 596,006 = 596,006 : x
  2. Step 2: Convert to fraction form
    396,077/596,006 = 596,006/x
  3. Step 3: Cross multiply
    396,077x = 596,006 × 596,006
  4. Step 4: Simplify right side
    396,077x = 355,223,152,036
  5. Step 5: Solve for x
    x = 355,223,152,036/396,077
  6. Step 6: Final answer
    x = 896,853.77

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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.