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Finding the Third Proportional to 326,700 and 667,224

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Solution

The third proportional to 326,700 and 667,224 is: 1,362,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,700 : 667,224 = 667,224 : x
  2. Step 2: Convert to fraction form
    326,700/667,224 = 667,224/x
  3. Step 3: Cross multiply
    326,700x = 667,224 × 667,224
  4. Step 4: Simplify right side
    326,700x = 445,187,866,176
  5. Step 5: Solve for x
    x = 445,187,866,176/326,700
  6. Step 6: Final answer
    x = 1,362,680.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.