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Finding the Third Proportional to 397,190 and 599,494

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Solution

The third proportional to 397,190 and 599,494 is: 904,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,190 : 599,494 = 599,494 : x
  2. Step 2: Convert to fraction form
    397,190/599,494 = 599,494/x
  3. Step 3: Cross multiply
    397,190x = 599,494 × 599,494
  4. Step 4: Simplify right side
    397,190x = 359,393,056,036
  5. Step 5: Solve for x
    x = 359,393,056,036/397,190
  6. Step 6: Final answer
    x = 904,839.14

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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.