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Finding the Third Proportional to 281,504 and 436,540

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Solution

The third proportional to 281,504 and 436,540 is: 676,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,504 : 436,540 = 436,540 : x
  2. Step 2: Convert to fraction form
    281,504/436,540 = 436,540/x
  3. Step 3: Cross multiply
    281,504x = 436,540 × 436,540
  4. Step 4: Simplify right side
    281,504x = 190,567,171,600
  5. Step 5: Solve for x
    x = 190,567,171,600/281,504
  6. Step 6: Final answer
    x = 676,960.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.