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Finding the Third Proportional to 298,062 and 450,945

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Solution

The third proportional to 298,062 and 450,945 is: 682,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,062 : 450,945 = 450,945 : x
  2. Step 2: Convert to fraction form
    298,062/450,945 = 450,945/x
  3. Step 3: Cross multiply
    298,062x = 450,945 × 450,945
  4. Step 4: Simplify right side
    298,062x = 203,351,393,025
  5. Step 5: Solve for x
    x = 203,351,393,025/298,062
  6. Step 6: Final answer
    x = 682,245.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.