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Finding the Third Proportional to 199,520.72 and 437,844.23

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Solution

The third proportional to 199,520.72 and 437,844.23 is: 960,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,520.72 : 437,844.23 = 437,844.23 : x
  2. Step 2: Convert to fraction form
    199,520.72/437,844.23 = 437,844.23/x
  3. Step 3: Cross multiply
    199,520.72x = 437,844.23 × 437,844.23
  4. Step 4: Simplify right side
    199,520.72x = 191,707,573,575.43
  5. Step 5: Solve for x
    x = 191,707,573,575.43/199,520.72
  6. Step 6: Final answer
    x = 960,840.43

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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.