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Finding the Third Proportional to 257,704.50 and 522,658.50

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Solution

The third proportional to 257,704.50 and 522,658.50 is: 1,060,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,704.50 : 522,658.50 = 522,658.50 : x
  2. Step 2: Convert to fraction form
    257,704.50/522,658.50 = 522,658.50/x
  3. Step 3: Cross multiply
    257,704.50x = 522,658.50 × 522,658.50
  4. Step 4: Simplify right side
    257,704.50x = 273,171,907,622.25
  5. Step 5: Solve for x
    x = 273,171,907,622.25/257,704.50
  6. Step 6: Final answer
    x = 1,060,019.94

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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.