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Finding the Third Proportional to 453,021.75 and 993,233.25

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Solution

The third proportional to 453,021.75 and 993,233.25 is: 2,177,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,021.75 : 993,233.25 = 993,233.25 : x
  2. Step 2: Convert to fraction form
    453,021.75/993,233.25 = 993,233.25/x
  3. Step 3: Cross multiply
    453,021.75x = 993,233.25 × 993,233.25
  4. Step 4: Simplify right side
    453,021.75x = 986,512,288,905.56
  5. Step 5: Solve for x
    x = 986,512,288,905.56/453,021.75
  6. Step 6: Final answer
    x = 2,177,626.77

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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.