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Finding the Third Proportional to 304,504 and 674,288

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Solution

The third proportional to 304,504 and 674,288 is: 1,493,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,504 : 674,288 = 674,288 : x
  2. Step 2: Convert to fraction form
    304,504/674,288 = 674,288/x
  3. Step 3: Cross multiply
    304,504x = 674,288 × 674,288
  4. Step 4: Simplify right side
    304,504x = 454,664,306,944
  5. Step 5: Solve for x
    x = 454,664,306,944/304,504
  6. Step 6: Final answer
    x = 1,493,130.82

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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.