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Finding the Third Proportional to 304,508 and 674,296

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Solution

The third proportional to 304,508 and 674,296 is: 1,493,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,508 : 674,296 = 674,296 : x
  2. Step 2: Convert to fraction form
    304,508/674,296 = 674,296/x
  3. Step 3: Cross multiply
    304,508x = 674,296 × 674,296
  4. Step 4: Simplify right side
    304,508x = 454,675,095,616
  5. Step 5: Solve for x
    x = 454,675,095,616/304,508
  6. Step 6: Final answer
    x = 1,493,146.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.