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Finding the Third Proportional to 303,297.75 and 471,561.75

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Solution

The third proportional to 303,297.75 and 471,561.75 is: 733,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,297.75 : 471,561.75 = 471,561.75 : x
  2. Step 2: Convert to fraction form
    303,297.75/471,561.75 = 471,561.75/x
  3. Step 3: Cross multiply
    303,297.75x = 471,561.75 × 471,561.75
  4. Step 4: Simplify right side
    303,297.75x = 222,370,484,063.06
  5. Step 5: Solve for x
    x = 222,370,484,063.06/303,297.75
  6. Step 6: Final answer
    x = 733,175.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.