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Finding the Third Proportional to 326,494 and 366,976

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Solution

The third proportional to 326,494 and 366,976 is: 412,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,494 : 366,976 = 366,976 : x
  2. Step 2: Convert to fraction form
    326,494/366,976 = 366,976/x
  3. Step 3: Cross multiply
    326,494x = 366,976 × 366,976
  4. Step 4: Simplify right side
    326,494x = 134,671,384,576
  5. Step 5: Solve for x
    x = 134,671,384,576/326,494
  6. Step 6: Final answer
    x = 412,477.36

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.