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Finding the Third Proportional to 257,538 and 555,722

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Solution

The third proportional to 257,538 and 555,722 is: 1,199,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,538 : 555,722 = 555,722 : x
  2. Step 2: Convert to fraction form
    257,538/555,722 = 555,722/x
  3. Step 3: Cross multiply
    257,538x = 555,722 × 555,722
  4. Step 4: Simplify right side
    257,538x = 308,826,941,284
  5. Step 5: Solve for x
    x = 308,826,941,284/257,538
  6. Step 6: Final answer
    x = 1,199,150.97

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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.