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Finding the Third Proportional to 229,053.75 and 493,224.75

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Solution

The third proportional to 229,053.75 and 493,224.75 is: 1,062,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,053.75 : 493,224.75 = 493,224.75 : x
  2. Step 2: Convert to fraction form
    229,053.75/493,224.75 = 493,224.75/x
  3. Step 3: Cross multiply
    229,053.75x = 493,224.75 × 493,224.75
  4. Step 4: Simplify right side
    229,053.75x = 243,270,654,012.56
  5. Step 5: Solve for x
    x = 243,270,654,012.56/229,053.75
  6. Step 6: Final answer
    x = 1,062,067.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.