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Finding the Third Proportional to 236,581.86 and 513,093.55

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Solution

The third proportional to 236,581.86 and 513,093.55 is: 1,112,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,581.86 : 513,093.55 = 513,093.55 : x
  2. Step 2: Convert to fraction form
    236,581.86/513,093.55 = 513,093.55/x
  3. Step 3: Cross multiply
    236,581.86x = 513,093.55 × 513,093.55
  4. Step 4: Simplify right side
    236,581.86x = 263,264,991,853.31
  5. Step 5: Solve for x
    x = 263,264,991,853.31/236,581.86
  6. Step 6: Final answer
    x = 1,112,786.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.