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Finding the Third Proportional to 294,932 and 443,856

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Solution

The third proportional to 294,932 and 443,856 is: 667,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,932 : 443,856 = 443,856 : x
  2. Step 2: Convert to fraction form
    294,932/443,856 = 443,856/x
  3. Step 3: Cross multiply
    294,932x = 443,856 × 443,856
  4. Step 4: Simplify right side
    294,932x = 197,008,148,736
  5. Step 5: Solve for x
    x = 197,008,148,736/294,932
  6. Step 6: Final answer
    x = 667,978.21

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