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Finding the Third Proportional to 396,588 and 604,174

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Solution

The third proportional to 396,588 and 604,174 is: 920,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,588 : 604,174 = 604,174 : x
  2. Step 2: Convert to fraction form
    396,588/604,174 = 604,174/x
  3. Step 3: Cross multiply
    396,588x = 604,174 × 604,174
  4. Step 4: Simplify right side
    396,588x = 365,026,222,276
  5. Step 5: Solve for x
    x = 365,026,222,276/396,588
  6. Step 6: Final answer
    x = 920,416.71

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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.