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Finding the Third Proportional to 263,802 and 408,733.50

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Solution

The third proportional to 263,802 and 408,733.50 is: 633,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,802 : 408,733.50 = 408,733.50 : x
  2. Step 2: Convert to fraction form
    263,802/408,733.50 = 408,733.50/x
  3. Step 3: Cross multiply
    263,802x = 408,733.50 × 408,733.50
  4. Step 4: Simplify right side
    263,802x = 167,063,074,022.25
  5. Step 5: Solve for x
    x = 167,063,074,022.25/263,802
  6. Step 6: Final answer
    x = 633,289.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.