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Finding the Third Proportional to 246,482 and 396,830

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Solution

The third proportional to 246,482 and 396,830 is: 638,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,482 : 396,830 = 396,830 : x
  2. Step 2: Convert to fraction form
    246,482/396,830 = 396,830/x
  3. Step 3: Cross multiply
    246,482x = 396,830 × 396,830
  4. Step 4: Simplify right side
    246,482x = 157,474,048,900
  5. Step 5: Solve for x
    x = 157,474,048,900/246,482
  6. Step 6: Final answer
    x = 638,886.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.