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Finding the Third Proportional to 397,189 and 599,491

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Solution

The third proportional to 397,189 and 599,491 is: 904,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,189 : 599,491 = 599,491 : x
  2. Step 2: Convert to fraction form
    397,189/599,491 = 599,491/x
  3. Step 3: Cross multiply
    397,189x = 599,491 × 599,491
  4. Step 4: Simplify right side
    397,189x = 359,389,459,081
  5. Step 5: Solve for x
    x = 359,389,459,081/397,189
  6. Step 6: Final answer
    x = 904,832.36

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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.