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Finding the Third Proportional to 257,828 and 555,150

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Solution

The third proportional to 257,828 and 555,150 is: 1,195,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,828 : 555,150 = 555,150 : x
  2. Step 2: Convert to fraction form
    257,828/555,150 = 555,150/x
  3. Step 3: Cross multiply
    257,828x = 555,150 × 555,150
  4. Step 4: Simplify right side
    257,828x = 308,191,522,500
  5. Step 5: Solve for x
    x = 308,191,522,500/257,828
  6. Step 6: Final answer
    x = 1,195,337.68

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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.