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Finding the Third Proportional to 396,664 and 604,302

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Solution

The third proportional to 396,664 and 604,302 is: 920,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,664 : 604,302 = 604,302 : x
  2. Step 2: Convert to fraction form
    396,664/604,302 = 604,302/x
  3. Step 3: Cross multiply
    396,664x = 604,302 × 604,302
  4. Step 4: Simplify right side
    396,664x = 365,180,907,204
  5. Step 5: Solve for x
    x = 365,180,907,204/396,664
  6. Step 6: Final answer
    x = 920,630.32

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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.