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Finding the Third Proportional to 227,846.81 and 498,582.56

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Solution

The third proportional to 227,846.81 and 498,582.56 is: 1,091,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,846.81 : 498,582.56 = 498,582.56 : x
  2. Step 2: Convert to fraction form
    227,846.81/498,582.56 = 498,582.56/x
  3. Step 3: Cross multiply
    227,846.81x = 498,582.56 × 498,582.56
  4. Step 4: Simplify right side
    227,846.81x = 248,584,571,629.07
  5. Step 5: Solve for x
    x = 248,584,571,629.07/227,846.81
  6. Step 6: Final answer
    x = 1,091,016.24

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Why These Related Problems?

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