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Finding the Third Proportional to 304,825 and 667,768

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Solution

The third proportional to 304,825 and 667,768 is: 1,462,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825 : 667,768 = 667,768 : x
  2. Step 2: Convert to fraction form
    304,825/667,768 = 667,768/x
  3. Step 3: Cross multiply
    304,825x = 667,768 × 667,768
  4. Step 4: Simplify right side
    304,825x = 445,914,101,824
  5. Step 5: Solve for x
    x = 445,914,101,824/304,825
  6. Step 6: Final answer
    x = 1,462,852.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.