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Finding the Third Proportional to 400,736 and 599,848

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Solution

The third proportional to 400,736 and 599,848 is: 897,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,736 : 599,848 = 599,848 : x
  2. Step 2: Convert to fraction form
    400,736/599,848 = 599,848/x
  3. Step 3: Cross multiply
    400,736x = 599,848 × 599,848
  4. Step 4: Simplify right side
    400,736x = 359,817,623,104
  5. Step 5: Solve for x
    x = 359,817,623,104/400,736
  6. Step 6: Final answer
    x = 897,891.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.