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Finding the Third Proportional to 236,601.75 and 516,024.75

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Solution

The third proportional to 236,601.75 and 516,024.75 is: 1,125,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,601.75 : 516,024.75 = 516,024.75 : x
  2. Step 2: Convert to fraction form
    236,601.75/516,024.75 = 516,024.75/x
  3. Step 3: Cross multiply
    236,601.75x = 516,024.75 × 516,024.75
  4. Step 4: Simplify right side
    236,601.75x = 266,281,542,612.56
  5. Step 5: Solve for x
    x = 266,281,542,612.56/236,601.75
  6. Step 6: Final answer
    x = 1,125,441.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.