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Finding the Third Proportional to 220,993.50 and 483,783

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Solution

The third proportional to 220,993.50 and 483,783 is: 1,059,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,993.50 : 483,783 = 483,783 : x
  2. Step 2: Convert to fraction form
    220,993.50/483,783 = 483,783/x
  3. Step 3: Cross multiply
    220,993.50x = 483,783 × 483,783
  4. Step 4: Simplify right side
    220,993.50x = 234,045,991,089
  5. Step 5: Solve for x
    x = 234,045,991,089/220,993.50
  6. Step 6: Final answer
    x = 1,059,062.78

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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.