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Finding the Third Proportional to 490,433.50 and 749,906.25

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Solution

The third proportional to 490,433.50 and 749,906.25 is: 1,146,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,433.50 : 749,906.25 = 749,906.25 : x
  2. Step 2: Convert to fraction form
    490,433.50/749,906.25 = 749,906.25/x
  3. Step 3: Cross multiply
    490,433.50x = 749,906.25 × 749,906.25
  4. Step 4: Simplify right side
    490,433.50x = 562,359,383,789.06
  5. Step 5: Solve for x
    x = 562,359,383,789.06/490,433.50
  6. Step 6: Final answer
    x = 1,146,657.77

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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.