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Finding the Third Proportional to 325,274 and 704,848

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Solution

The third proportional to 325,274 and 704,848 is: 1,527,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,274 : 704,848 = 704,848 : x
  2. Step 2: Convert to fraction form
    325,274/704,848 = 704,848/x
  3. Step 3: Cross multiply
    325,274x = 704,848 × 704,848
  4. Step 4: Simplify right side
    325,274x = 496,810,703,104
  5. Step 5: Solve for x
    x = 496,810,703,104/325,274
  6. Step 6: Final answer
    x = 1,527,360.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.