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Finding the Third Proportional to 294,747.94 and 600,334.31

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Solution

The third proportional to 294,747.94 and 600,334.31 is: 1,222,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,747.94 : 600,334.31 = 600,334.31 : x
  2. Step 2: Convert to fraction form
    294,747.94/600,334.31 = 600,334.31/x
  3. Step 3: Cross multiply
    294,747.94x = 600,334.31 × 600,334.31
  4. Step 4: Simplify right side
    294,747.94x = 360,401,286,764.85
  5. Step 5: Solve for x
    x = 360,401,286,764.85/294,747.94
  6. Step 6: Final answer
    x = 1,222,744.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.