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Finding the Third Proportional to 268,256 and 558,544

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Solution

The third proportional to 268,256 and 558,544 is: 1,162,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,256 : 558,544 = 558,544 : x
  2. Step 2: Convert to fraction form
    268,256/558,544 = 558,544/x
  3. Step 3: Cross multiply
    268,256x = 558,544 × 558,544
  4. Step 4: Simplify right side
    268,256x = 311,971,399,936
  5. Step 5: Solve for x
    x = 311,971,399,936/268,256
  6. Step 6: Final answer
    x = 1,162,961.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.