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Finding the Third Proportional to 394,789.50 and 589,552.50

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Solution

The third proportional to 394,789.50 and 589,552.50 is: 880,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,789.50 : 589,552.50 = 589,552.50 : x
  2. Step 2: Convert to fraction form
    394,789.50/589,552.50 = 589,552.50/x
  3. Step 3: Cross multiply
    394,789.50x = 589,552.50 × 589,552.50
  4. Step 4: Simplify right side
    394,789.50x = 347,572,150,256.25
  5. Step 5: Solve for x
    x = 347,572,150,256.25/394,789.50
  6. Step 6: Final answer
    x = 880,398.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.