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Finding the Third Proportional to 294,933 and 443,859

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Solution

The third proportional to 294,933 and 443,859 is: 667,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,933 : 443,859 = 443,859 : x
  2. Step 2: Convert to fraction form
    294,933/443,859 = 443,859/x
  3. Step 3: Cross multiply
    294,933x = 443,859 × 443,859
  4. Step 4: Simplify right side
    294,933x = 197,010,811,881
  5. Step 5: Solve for x
    x = 197,010,811,881/294,933
  6. Step 6: Final answer
    x = 667,984.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.