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Finding the Third Proportional to 300,878 and 653,626

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Solution

The third proportional to 300,878 and 653,626 is: 1,419,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,878 : 653,626 = 653,626 : x
  2. Step 2: Convert to fraction form
    300,878/653,626 = 653,626/x
  3. Step 3: Cross multiply
    300,878x = 653,626 × 653,626
  4. Step 4: Simplify right side
    300,878x = 427,226,947,876
  5. Step 5: Solve for x
    x = 427,226,947,876/300,878
  6. Step 6: Final answer
    x = 1,419,934.15

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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.