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Finding the Third Proportional to 298,048 and 450,924

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Solution

The third proportional to 298,048 and 450,924 is: 682,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,048 : 450,924 = 450,924 : x
  2. Step 2: Convert to fraction form
    298,048/450,924 = 450,924/x
  3. Step 3: Cross multiply
    298,048x = 450,924 × 450,924
  4. Step 4: Simplify right side
    298,048x = 203,332,453,776
  5. Step 5: Solve for x
    x = 203,332,453,776/298,048
  6. Step 6: Final answer
    x = 682,213.78

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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.