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Finding the Third Proportional to 381,979.69 and 809,492.63

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Solution

The third proportional to 381,979.69 and 809,492.63 is: 1,715,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,979.69 : 809,492.63 = 809,492.63 : x
  2. Step 2: Convert to fraction form
    381,979.69/809,492.63 = 809,492.63/x
  3. Step 3: Cross multiply
    381,979.69x = 809,492.63 × 809,492.63
  4. Step 4: Simplify right side
    381,979.69x = 655,278,309,929.39
  5. Step 5: Solve for x
    x = 655,278,309,929.39/381,979.69
  6. Step 6: Final answer
    x = 1,715,479.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.