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Finding the Third Proportional to 396,523 and 604,093

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Solution

The third proportional to 396,523 and 604,093 is: 920,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,523 : 604,093 = 604,093 : x
  2. Step 2: Convert to fraction form
    396,523/604,093 = 604,093/x
  3. Step 3: Cross multiply
    396,523x = 604,093 × 604,093
  4. Step 4: Simplify right side
    396,523x = 364,928,352,649
  5. Step 5: Solve for x
    x = 364,928,352,649/396,523
  6. Step 6: Final answer
    x = 920,320.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.