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Finding the Third Proportional to 258,192 and 555,936

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Solution

The third proportional to 258,192 and 555,936 is: 1,197,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,192 : 555,936 = 555,936 : x
  2. Step 2: Convert to fraction form
    258,192/555,936 = 555,936/x
  3. Step 3: Cross multiply
    258,192x = 555,936 × 555,936
  4. Step 4: Simplify right side
    258,192x = 309,064,836,096
  5. Step 5: Solve for x
    x = 309,064,836,096/258,192
  6. Step 6: Final answer
    x = 1,197,034.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.