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Finding the Third Proportional to 263,798.44 and 408,729.38

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Solution

The third proportional to 263,798.44 and 408,729.38 is: 633,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,798.44 : 408,729.38 = 408,729.38 : x
  2. Step 2: Convert to fraction form
    263,798.44/408,729.38 = 408,729.38/x
  3. Step 3: Cross multiply
    263,798.44x = 408,729.38 × 408,729.38
  4. Step 4: Simplify right side
    263,798.44x = 167,059,701,987.89
  5. Step 5: Solve for x
    x = 167,059,701,987.89/263,798.44
  6. Step 6: Final answer
    x = 633,285.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.