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Finding the Third Proportional to 199,754.44 and 471,477.38

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Solution

The third proportional to 199,754.44 and 471,477.38 is: 1,112,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,754.44 : 471,477.38 = 471,477.38 : x
  2. Step 2: Convert to fraction form
    199,754.44/471,477.38 = 471,477.38/x
  3. Step 3: Cross multiply
    199,754.44x = 471,477.38 × 471,477.38
  4. Step 4: Simplify right side
    199,754.44x = 222,290,915,136.89
  5. Step 5: Solve for x
    x = 222,290,915,136.89/199,754.44
  6. Step 6: Final answer
    x = 1,112,820.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.