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Finding the Third Proportional to 227,772.63 and 498,448.05

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Solution

The third proportional to 227,772.63 and 498,448.05 is: 1,090,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,772.63 : 498,448.05 = 498,448.05 : x
  2. Step 2: Convert to fraction form
    227,772.63/498,448.05 = 498,448.05/x
  3. Step 3: Cross multiply
    227,772.63x = 498,448.05 × 498,448.05
  4. Step 4: Simplify right side
    227,772.63x = 248,450,463,221.75
  5. Step 5: Solve for x
    x = 248,450,463,221.75/227,772.63
  6. Step 6: Final answer
    x = 1,090,782.77

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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.