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Finding the Third Proportional to 258,648 and 558,096

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Solution

The third proportional to 258,648 and 558,096 is: 1,204,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648 : 558,096 = 558,096 : x
  2. Step 2: Convert to fraction form
    258,648/558,096 = 558,096/x
  3. Step 3: Cross multiply
    258,648x = 558,096 × 558,096
  4. Step 4: Simplify right side
    258,648x = 311,471,145,216
  5. Step 5: Solve for x
    x = 311,471,145,216/258,648
  6. Step 6: Final answer
    x = 1,204,227.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.