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Finding the Third Proportional to 263,482.24 and 394,502.91

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Solution

The third proportional to 263,482.24 and 394,502.91 is: 590,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,482.24 : 394,502.91 = 394,502.91 : x
  2. Step 2: Convert to fraction form
    263,482.24/394,502.91 = 394,502.91/x
  3. Step 3: Cross multiply
    263,482.24x = 394,502.91 × 394,502.91
  4. Step 4: Simplify right side
    263,482.24x = 155,632,543,039.70
  5. Step 5: Solve for x
    x = 155,632,543,039.70/263,482.24
  6. Step 6: Final answer
    x = 590,675.64

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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.