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Finding the Third Proportional to 294,927 and 443,850

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Solution

The third proportional to 294,927 and 443,850 is: 667,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,927 : 443,850 = 443,850 : x
  2. Step 2: Convert to fraction form
    294,927/443,850 = 443,850/x
  3. Step 3: Cross multiply
    294,927x = 443,850 × 443,850
  4. Step 4: Simplify right side
    294,927x = 197,002,822,500
  5. Step 5: Solve for x
    x = 197,002,822,500/294,927
  6. Step 6: Final answer
    x = 667,971.47

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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.