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Finding the Third Proportional to 258,096 and 555,744

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Solution

The third proportional to 258,096 and 555,744 is: 1,196,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,096 : 555,744 = 555,744 : x
  2. Step 2: Convert to fraction form
    258,096/555,744 = 555,744/x
  3. Step 3: Cross multiply
    258,096x = 555,744 × 555,744
  4. Step 4: Simplify right side
    258,096x = 308,851,393,536
  5. Step 5: Solve for x
    x = 308,851,393,536/258,096
  6. Step 6: Final answer
    x = 1,196,653.16

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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.