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Finding the Third Proportional to 396,832 and 598,827

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Solution

The third proportional to 396,832 and 598,827 is: 903,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,832 : 598,827 = 598,827 : x
  2. Step 2: Convert to fraction form
    396,832/598,827 = 598,827/x
  3. Step 3: Cross multiply
    396,832x = 598,827 × 598,827
  4. Step 4: Simplify right side
    396,832x = 358,593,775,929
  5. Step 5: Solve for x
    x = 358,593,775,929/396,832
  6. Step 6: Final answer
    x = 903,641.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.