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Finding the Third Proportional to 345,168 and 806,832

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Solution

The third proportional to 345,168 and 806,832 is: 1,885,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,168 : 806,832 = 806,832 : x
  2. Step 2: Convert to fraction form
    345,168/806,832 = 806,832/x
  3. Step 3: Cross multiply
    345,168x = 806,832 × 806,832
  4. Step 4: Simplify right side
    345,168x = 650,977,876,224
  5. Step 5: Solve for x
    x = 650,977,876,224/345,168
  6. Step 6: Final answer
    x = 1,885,974.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.