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Finding the Third Proportional to 300,302 and 652,876

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Solution

The third proportional to 300,302 and 652,876 is: 1,419,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,302 : 652,876 = 652,876 : x
  2. Step 2: Convert to fraction form
    300,302/652,876 = 652,876/x
  3. Step 3: Cross multiply
    300,302x = 652,876 × 652,876
  4. Step 4: Simplify right side
    300,302x = 426,247,071,376
  5. Step 5: Solve for x
    x = 426,247,071,376/300,302
  6. Step 6: Final answer
    x = 1,419,394.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.