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Finding the Third Proportional to 397,103 and 599,315

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Solution

The third proportional to 397,103 and 599,315 is: 904,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,103 : 599,315 = 599,315 : x
  2. Step 2: Convert to fraction form
    397,103/599,315 = 599,315/x
  3. Step 3: Cross multiply
    397,103x = 599,315 × 599,315
  4. Step 4: Simplify right side
    397,103x = 359,178,469,225
  5. Step 5: Solve for x
    x = 359,178,469,225/397,103
  6. Step 6: Final answer
    x = 904,496.99

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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.