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Finding the Third Proportional to 372,400 and 797,286

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Solution

The third proportional to 372,400 and 797,286 is: 1,706,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,400 : 797,286 = 797,286 : x
  2. Step 2: Convert to fraction form
    372,400/797,286 = 797,286/x
  3. Step 3: Cross multiply
    372,400x = 797,286 × 797,286
  4. Step 4: Simplify right side
    372,400x = 635,664,965,796
  5. Step 5: Solve for x
    x = 635,664,965,796/372,400
  6. Step 6: Final answer
    x = 1,706,941.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.