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Finding the Third Proportional to 396,824 and 598,813

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Solution

The third proportional to 396,824 and 598,813 is: 903,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,824 : 598,813 = 598,813 : x
  2. Step 2: Convert to fraction form
    396,824/598,813 = 598,813/x
  3. Step 3: Cross multiply
    396,824x = 598,813 × 598,813
  4. Step 4: Simplify right side
    396,824x = 358,577,008,969
  5. Step 5: Solve for x
    x = 358,577,008,969/396,824
  6. Step 6: Final answer
    x = 903,617.24

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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.