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Finding the Third Proportional to 263,956.50 and 424,986.75

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Solution

The third proportional to 263,956.50 and 424,986.75 is: 684,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,956.50 : 424,986.75 = 424,986.75 : x
  2. Step 2: Convert to fraction form
    263,956.50/424,986.75 = 424,986.75/x
  3. Step 3: Cross multiply
    263,956.50x = 424,986.75 × 424,986.75
  4. Step 4: Simplify right side
    263,956.50x = 180,613,737,675.56
  5. Step 5: Solve for x
    x = 180,613,737,675.56/263,956.50
  6. Step 6: Final answer
    x = 684,255.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.