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Finding the Third Proportional to 303,844 and 471,694

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Solution

The third proportional to 303,844 and 471,694 is: 732,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,844 : 471,694 = 471,694 : x
  2. Step 2: Convert to fraction form
    303,844/471,694 = 471,694/x
  3. Step 3: Cross multiply
    303,844x = 471,694 × 471,694
  4. Step 4: Simplify right side
    303,844x = 222,495,229,636
  5. Step 5: Solve for x
    x = 222,495,229,636/303,844
  6. Step 6: Final answer
    x = 732,267.97

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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.