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Finding the Third Proportional to 394,471 and 558,172.50

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Solution

The third proportional to 394,471 and 558,172.50 is: 789,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,471 : 558,172.50 = 558,172.50 : x
  2. Step 2: Convert to fraction form
    394,471/558,172.50 = 558,172.50/x
  3. Step 3: Cross multiply
    394,471x = 558,172.50 × 558,172.50
  4. Step 4: Simplify right side
    394,471x = 311,556,539,756.25
  5. Step 5: Solve for x
    x = 311,556,539,756.25/394,471
  6. Step 6: Final answer
    x = 789,808.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.