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Finding the Third Proportional to 332,664.75 and 508,974.75

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Solution

The third proportional to 332,664.75 and 508,974.75 is: 778,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,664.75 : 508,974.75 = 508,974.75 : x
  2. Step 2: Convert to fraction form
    332,664.75/508,974.75 = 508,974.75/x
  3. Step 3: Cross multiply
    332,664.75x = 508,974.75 × 508,974.75
  4. Step 4: Simplify right side
    332,664.75x = 259,055,296,137.56
  5. Step 5: Solve for x
    x = 259,055,296,137.56/332,664.75
  6. Step 6: Final answer
    x = 778,727.82

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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.