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Finding the Third Proportional to 381,684 and 518,365

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Solution

The third proportional to 381,684 and 518,365 is: 703,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684 : 518,365 = 518,365 : x
  2. Step 2: Convert to fraction form
    381,684/518,365 = 518,365/x
  3. Step 3: Cross multiply
    381,684x = 518,365 × 518,365
  4. Step 4: Simplify right side
    381,684x = 268,702,273,225
  5. Step 5: Solve for x
    x = 268,702,273,225/381,684
  6. Step 6: Final answer
    x = 703,991.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.