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Finding the Third Proportional to 303,370 and 674,080

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Solution

The third proportional to 303,370 and 674,080 is: 1,497,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,370 : 674,080 = 674,080 : x
  2. Step 2: Convert to fraction form
    303,370/674,080 = 674,080/x
  3. Step 3: Cross multiply
    303,370x = 674,080 × 674,080
  4. Step 4: Simplify right side
    303,370x = 454,383,846,400
  5. Step 5: Solve for x
    x = 454,383,846,400/303,370
  6. Step 6: Final answer
    x = 1,497,787.67

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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.