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Finding the Third Proportional to 215,782.50 and 474,393

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Solution

The third proportional to 215,782.50 and 474,393 is: 1,042,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,782.50 : 474,393 = 474,393 : x
  2. Step 2: Convert to fraction form
    215,782.50/474,393 = 474,393/x
  3. Step 3: Cross multiply
    215,782.50x = 474,393 × 474,393
  4. Step 4: Simplify right side
    215,782.50x = 225,048,718,449
  5. Step 5: Solve for x
    x = 225,048,718,449/215,782.50
  6. Step 6: Final answer
    x = 1,042,942.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.