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Finding the Third Proportional to 381,408.75 and 560,287.13

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Solution

The third proportional to 381,408.75 and 560,287.13 is: 823,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,408.75 : 560,287.13 = 560,287.13 : x
  2. Step 2: Convert to fraction form
    381,408.75/560,287.13 = 560,287.13/x
  3. Step 3: Cross multiply
    381,408.75x = 560,287.13 × 560,287.13
  4. Step 4: Simplify right side
    381,408.75x = 313,921,662,440.77
  5. Step 5: Solve for x
    x = 313,921,662,440.77/381,408.75
  6. Step 6: Final answer
    x = 823,058.37

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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.