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Finding the Third Proportional to 206,944.88 and 483,661.13

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Solution

The third proportional to 206,944.88 and 483,661.13 is: 1,130,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,944.88 : 483,661.13 = 483,661.13 : x
  2. Step 2: Convert to fraction form
    206,944.88/483,661.13 = 483,661.13/x
  3. Step 3: Cross multiply
    206,944.88x = 483,661.13 × 483,661.13
  4. Step 4: Simplify right side
    206,944.88x = 233,928,083,836.27
  5. Step 5: Solve for x
    x = 233,928,083,836.27/206,944.88
  6. Step 6: Final answer
    x = 1,130,388.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.