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Finding the Third Proportional to 381,677.50 and 518,357.50

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Solution

The third proportional to 381,677.50 and 518,357.50 is: 703,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,677.50 : 518,357.50 = 518,357.50 : x
  2. Step 2: Convert to fraction form
    381,677.50/518,357.50 = 518,357.50/x
  3. Step 3: Cross multiply
    381,677.50x = 518,357.50 × 518,357.50
  4. Step 4: Simplify right side
    381,677.50x = 268,694,497,806.25
  5. Step 5: Solve for x
    x = 268,694,497,806.25/381,677.50
  6. Step 6: Final answer
    x = 703,983.07

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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.