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Finding the Third Proportional to 229,583.25 and 496,564.75

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Solution

The third proportional to 229,583.25 and 496,564.75 is: 1,074,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,583.25 : 496,564.75 = 496,564.75 : x
  2. Step 2: Convert to fraction form
    229,583.25/496,564.75 = 496,564.75/x
  3. Step 3: Cross multiply
    229,583.25x = 496,564.75 × 496,564.75
  4. Step 4: Simplify right side
    229,583.25x = 246,576,550,942.56
  5. Step 5: Solve for x
    x = 246,576,550,942.56/229,583.25
  6. Step 6: Final answer
    x = 1,074,018.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.