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Finding the Third Proportional to 225,768.75 and 493,515.75

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Solution

The third proportional to 225,768.75 and 493,515.75 is: 1,078,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768.75 : 493,515.75 = 493,515.75 : x
  2. Step 2: Convert to fraction form
    225,768.75/493,515.75 = 493,515.75/x
  3. Step 3: Cross multiply
    225,768.75x = 493,515.75 × 493,515.75
  4. Step 4: Simplify right side
    225,768.75x = 243,557,795,498.06
  5. Step 5: Solve for x
    x = 243,557,795,498.06/225,768.75
  6. Step 6: Final answer
    x = 1,078,793.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.