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Finding the Third Proportional to 227,858.06 and 498,620.81

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Solution

The third proportional to 227,858.06 and 498,620.81 is: 1,091,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,858.06 : 498,620.81 = 498,620.81 : x
  2. Step 2: Convert to fraction form
    227,858.06/498,620.81 = 498,620.81/x
  3. Step 3: Cross multiply
    227,858.06x = 498,620.81 × 498,620.81
  4. Step 4: Simplify right side
    227,858.06x = 248,622,714,658.16
  5. Step 5: Solve for x
    x = 248,622,714,658.16/227,858.06
  6. Step 6: Final answer
    x = 1,091,129.77

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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.