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Finding the Third Proportional to 303,374 and 674,086

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Solution

The third proportional to 303,374 and 674,086 is: 1,497,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,374 : 674,086 = 674,086 : x
  2. Step 2: Convert to fraction form
    303,374/674,086 = 674,086/x
  3. Step 3: Cross multiply
    303,374x = 674,086 × 674,086
  4. Step 4: Simplify right side
    303,374x = 454,391,935,396
  5. Step 5: Solve for x
    x = 454,391,935,396/303,374
  6. Step 6: Final answer
    x = 1,497,794.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.