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Finding the Third Proportional to 396,902 and 598,998

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Solution

The third proportional to 396,902 and 598,998 is: 903,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,902 : 598,998 = 598,998 : x
  2. Step 2: Convert to fraction form
    396,902/598,998 = 598,998/x
  3. Step 3: Cross multiply
    396,902x = 598,998 × 598,998
  4. Step 4: Simplify right side
    396,902x = 358,798,604,004
  5. Step 5: Solve for x
    x = 358,798,604,004/396,902
  6. Step 6: Final answer
    x = 903,997.97

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