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Finding the Third Proportional to 381,666.50 and 518,341

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Solution

The third proportional to 381,666.50 and 518,341 is: 703,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,666.50 : 518,341 = 518,341 : x
  2. Step 2: Convert to fraction form
    381,666.50/518,341 = 518,341/x
  3. Step 3: Cross multiply
    381,666.50x = 518,341 × 518,341
  4. Step 4: Simplify right side
    381,666.50x = 268,677,392,281
  5. Step 5: Solve for x
    x = 268,677,392,281/381,666.50
  6. Step 6: Final answer
    x = 703,958.54

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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.