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Finding the Third Proportional to 257,981 and 371,589

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Solution

The third proportional to 257,981 and 371,589 is: 535,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,981 : 371,589 = 371,589 : x
  2. Step 2: Convert to fraction form
    257,981/371,589 = 371,589/x
  3. Step 3: Cross multiply
    257,981x = 371,589 × 371,589
  4. Step 4: Simplify right side
    257,981x = 138,078,384,921
  5. Step 5: Solve for x
    x = 138,078,384,921/257,981
  6. Step 6: Final answer
    x = 535,226.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.