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Finding the Third Proportional to 298,634.63 and 649,757.63

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Solution

The third proportional to 298,634.63 and 649,757.63 is: 1,413,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634.63 : 649,757.63 = 649,757.63 : x
  2. Step 2: Convert to fraction form
    298,634.63/649,757.63 = 649,757.63/x
  3. Step 3: Cross multiply
    298,634.63x = 649,757.63 × 649,757.63
  4. Step 4: Simplify right side
    298,634.63x = 422,184,971,245.64
  5. Step 5: Solve for x
    x = 422,184,971,245.64/298,634.63
  6. Step 6: Final answer
    x = 1,413,717.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.