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Finding the Third Proportional to 257,722 and 522,690

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Solution

The third proportional to 257,722 and 522,690 is: 1,060,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,722 : 522,690 = 522,690 : x
  2. Step 2: Convert to fraction form
    257,722/522,690 = 522,690/x
  3. Step 3: Cross multiply
    257,722x = 522,690 × 522,690
  4. Step 4: Simplify right side
    257,722x = 273,204,836,100
  5. Step 5: Solve for x
    x = 273,204,836,100/257,722
  6. Step 6: Final answer
    x = 1,060,075.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.