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Finding the Third Proportional to 396,611.72 and 604,212.33

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Solution

The third proportional to 396,611.72 and 604,212.33 is: 920,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,611.72 : 604,212.33 = 604,212.33 : x
  2. Step 2: Convert to fraction form
    396,611.72/604,212.33 = 604,212.33/x
  3. Step 3: Cross multiply
    396,611.72x = 604,212.33 × 604,212.33
  4. Step 4: Simplify right side
    396,611.72x = 365,072,537,458.23
  5. Step 5: Solve for x
    x = 365,072,537,458.23/396,611.72
  6. Step 6: Final answer
    x = 920,478.44

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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.