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Finding the Third Proportional to 397,433 and 599,885

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Solution

The third proportional to 397,433 and 599,885 is: 905,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,433 : 599,885 = 599,885 : x
  2. Step 2: Convert to fraction form
    397,433/599,885 = 599,885/x
  3. Step 3: Cross multiply
    397,433x = 599,885 × 599,885
  4. Step 4: Simplify right side
    397,433x = 359,862,013,225
  5. Step 5: Solve for x
    x = 359,862,013,225/397,433
  6. Step 6: Final answer
    x = 905,465.86

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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.