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Finding the Third Proportional to 284,033.25 and 426,785.63

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Solution

The third proportional to 284,033.25 and 426,785.63 is: 641,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,033.25 : 426,785.63 = 426,785.63 : x
  2. Step 2: Convert to fraction form
    284,033.25/426,785.63 = 426,785.63/x
  3. Step 3: Cross multiply
    284,033.25x = 426,785.63 × 426,785.63
  4. Step 4: Simplify right side
    284,033.25x = 182,145,969,706.64
  5. Step 5: Solve for x
    x = 182,145,969,706.64/284,033.25
  6. Step 6: Final answer
    x = 641,283.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.