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Finding the Third Proportional to 294,831 and 467,601

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Solution

The third proportional to 294,831 and 467,601 is: 741,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,831 : 467,601 = 467,601 : x
  2. Step 2: Convert to fraction form
    294,831/467,601 = 467,601/x
  3. Step 3: Cross multiply
    294,831x = 467,601 × 467,601
  4. Step 4: Simplify right side
    294,831x = 218,650,695,201
  5. Step 5: Solve for x
    x = 218,650,695,201/294,831
  6. Step 6: Final answer
    x = 741,613.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.