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Finding the Third Proportional to 293,903.81 and 413,879.06

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Solution

The third proportional to 293,903.81 and 413,879.06 is: 582,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,903.81 : 413,879.06 = 413,879.06 : x
  2. Step 2: Convert to fraction form
    293,903.81/413,879.06 = 413,879.06/x
  3. Step 3: Cross multiply
    293,903.81x = 413,879.06 × 413,879.06
  4. Step 4: Simplify right side
    293,903.81x = 171,295,878,375.88
  5. Step 5: Solve for x
    x = 171,295,878,375.88/293,903.81
  6. Step 6: Final answer
    x = 582,829.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.