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Finding the Third Proportional to 257,069 and 557,042

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Solution

The third proportional to 257,069 and 557,042 is: 1,207,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069 : 557,042 = 557,042 : x
  2. Step 2: Convert to fraction form
    257,069/557,042 = 557,042/x
  3. Step 3: Cross multiply
    257,069x = 557,042 × 557,042
  4. Step 4: Simplify right side
    257,069x = 310,295,789,764
  5. Step 5: Solve for x
    x = 310,295,789,764/257,069
  6. Step 6: Final answer
    x = 1,207,052.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.