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Finding the Third Proportional to 333,022 and 366,831

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Solution

The third proportional to 333,022 and 366,831 is: 404,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,022 : 366,831 = 366,831 : x
  2. Step 2: Convert to fraction form
    333,022/366,831 = 366,831/x
  3. Step 3: Cross multiply
    333,022x = 366,831 × 366,831
  4. Step 4: Simplify right side
    333,022x = 134,564,982,561
  5. Step 5: Solve for x
    x = 134,564,982,561/333,022
  6. Step 6: Final answer
    x = 404,072.35

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.