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Finding the Third Proportional to 476,874 and 668,338

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Solution

The third proportional to 476,874 and 668,338 is: 936,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,874 : 668,338 = 668,338 : x
  2. Step 2: Convert to fraction form
    476,874/668,338 = 668,338/x
  3. Step 3: Cross multiply
    476,874x = 668,338 × 668,338
  4. Step 4: Simplify right side
    476,874x = 446,675,682,244
  5. Step 5: Solve for x
    x = 446,675,682,244/476,874
  6. Step 6: Final answer
    x = 936,674.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.