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Finding the Third Proportional to 263,467 and 416,780

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Solution

The third proportional to 263,467 and 416,780 is: 659,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,467 : 416,780 = 416,780 : x
  2. Step 2: Convert to fraction form
    263,467/416,780 = 416,780/x
  3. Step 3: Cross multiply
    263,467x = 416,780 × 416,780
  4. Step 4: Simplify right side
    263,467x = 173,705,568,400
  5. Step 5: Solve for x
    x = 173,705,568,400/263,467
  6. Step 6: Final answer
    x = 659,306.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.