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Finding the Third Proportional to 294,112.50 and 644,193

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Solution

The third proportional to 294,112.50 and 644,193 is: 1,410,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,112.50 : 644,193 = 644,193 : x
  2. Step 2: Convert to fraction form
    294,112.50/644,193 = 644,193/x
  3. Step 3: Cross multiply
    294,112.50x = 644,193 × 644,193
  4. Step 4: Simplify right side
    294,112.50x = 414,984,621,249
  5. Step 5: Solve for x
    x = 414,984,621,249/294,112.50
  6. Step 6: Final answer
    x = 1,410,972.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.