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Finding the Third Proportional to 474,929.26 and 699,835.73

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Solution

The third proportional to 474,929.26 and 699,835.73 is: 1,031,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,929.26 : 699,835.73 = 699,835.73 : x
  2. Step 2: Convert to fraction form
    474,929.26/699,835.73 = 699,835.73/x
  3. Step 3: Cross multiply
    474,929.26x = 699,835.73 × 699,835.73
  4. Step 4: Simplify right side
    474,929.26x = 489,770,046,906.99
  5. Step 5: Solve for x
    x = 489,770,046,906.99/474,929.26
  6. Step 6: Final answer
    x = 1,031,248.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.