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Finding the Third Proportional to 257,286 and 397,593

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Solution

The third proportional to 257,286 and 397,593 is: 614,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,286 : 397,593 = 397,593 : x
  2. Step 2: Convert to fraction form
    257,286/397,593 = 397,593/x
  3. Step 3: Cross multiply
    257,286x = 397,593 × 397,593
  4. Step 4: Simplify right side
    257,286x = 158,080,193,649
  5. Step 5: Solve for x
    x = 158,080,193,649/257,286
  6. Step 6: Final answer
    x = 614,414.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.