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Finding the Third Proportional to 294,929 and 443,853

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Solution

The third proportional to 294,929 and 443,853 is: 667,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,929 : 443,853 = 443,853 : x
  2. Step 2: Convert to fraction form
    294,929/443,853 = 443,853/x
  3. Step 3: Cross multiply
    294,929x = 443,853 × 443,853
  4. Step 4: Simplify right side
    294,929x = 197,005,485,609
  5. Step 5: Solve for x
    x = 197,005,485,609/294,929
  6. Step 6: Final answer
    x = 667,975.97

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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.