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Finding the Third Proportional to 255,843 and 558,270

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Solution

The third proportional to 255,843 and 558,270 is: 1,218,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,843 : 558,270 = 558,270 : x
  2. Step 2: Convert to fraction form
    255,843/558,270 = 558,270/x
  3. Step 3: Cross multiply
    255,843x = 558,270 × 558,270
  4. Step 4: Simplify right side
    255,843x = 311,665,392,900
  5. Step 5: Solve for x
    x = 311,665,392,900/255,843
  6. Step 6: Final answer
    x = 1,218,190.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.