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Finding the Third Proportional to 490,351.50 and 749,796.75

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Solution

The third proportional to 490,351.50 and 749,796.75 is: 1,146,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,351.50 : 749,796.75 = 749,796.75 : x
  2. Step 2: Convert to fraction form
    490,351.50/749,796.75 = 749,796.75/x
  3. Step 3: Cross multiply
    490,351.50x = 749,796.75 × 749,796.75
  4. Step 4: Simplify right side
    490,351.50x = 562,195,166,310.56
  5. Step 5: Solve for x
    x = 562,195,166,310.56/490,351.50
  6. Step 6: Final answer
    x = 1,146,514.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.