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Finding the Third Proportional to 298,055 and 450,935

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Solution

The third proportional to 298,055 and 450,935 is: 682,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,055 : 450,935 = 450,935 : x
  2. Step 2: Convert to fraction form
    298,055/450,935 = 450,935/x
  3. Step 3: Cross multiply
    298,055x = 450,935 × 450,935
  4. Step 4: Simplify right side
    298,055x = 203,342,374,225
  5. Step 5: Solve for x
    x = 203,342,374,225/298,055
  6. Step 6: Final answer
    x = 682,231.05

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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.