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Finding the Third Proportional to 325,845 and 697,251

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Solution

The third proportional to 325,845 and 697,251 is: 1,491,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,845 : 697,251 = 697,251 : x
  2. Step 2: Convert to fraction form
    325,845/697,251 = 697,251/x
  3. Step 3: Cross multiply
    325,845x = 697,251 × 697,251
  4. Step 4: Simplify right side
    325,845x = 486,158,957,001
  5. Step 5: Solve for x
    x = 486,158,957,001/325,845
  6. Step 6: Final answer
    x = 1,491,994.53

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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.