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Finding the Third Proportional to 250,504 and 441,496

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Solution

The third proportional to 250,504 and 441,496 is: 778,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,504 : 441,496 = 441,496 : x
  2. Step 2: Convert to fraction form
    250,504/441,496 = 441,496/x
  3. Step 3: Cross multiply
    250,504x = 441,496 × 441,496
  4. Step 4: Simplify right side
    250,504x = 194,918,718,016
  5. Step 5: Solve for x
    x = 194,918,718,016/250,504
  6. Step 6: Final answer
    x = 778,106.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.