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Finding the Third Proportional to 293,882.06 and 413,850.56

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Solution

The third proportional to 293,882.06 and 413,850.56 is: 582,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,882.06 : 413,850.56 = 413,850.56 : x
  2. Step 2: Convert to fraction form
    293,882.06/413,850.56 = 413,850.56/x
  3. Step 3: Cross multiply
    293,882.06x = 413,850.56 × 413,850.56
  4. Step 4: Simplify right side
    293,882.06x = 171,272,288,081.57
  5. Step 5: Solve for x
    x = 171,272,288,081.57/293,882.06
  6. Step 6: Final answer
    x = 582,792.59

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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.