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Finding the Third Proportional to 257,725 and 522,698

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Solution

The third proportional to 257,725 and 522,698 is: 1,060,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,725 : 522,698 = 522,698 : x
  2. Step 2: Convert to fraction form
    257,725/522,698 = 522,698/x
  3. Step 3: Cross multiply
    257,725x = 522,698 × 522,698
  4. Step 4: Simplify right side
    257,725x = 273,213,199,204
  5. Step 5: Solve for x
    x = 273,213,199,204/257,725
  6. Step 6: Final answer
    x = 1,060,095.84

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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.