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Finding the Third Proportional to 227,620.13 and 488,450.25

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Solution

The third proportional to 227,620.13 and 488,450.25 is: 1,048,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,620.13 : 488,450.25 = 488,450.25 : x
  2. Step 2: Convert to fraction form
    227,620.13/488,450.25 = 488,450.25/x
  3. Step 3: Cross multiply
    227,620.13x = 488,450.25 × 488,450.25
  4. Step 4: Simplify right side
    227,620.13x = 238,583,646,725.06
  5. Step 5: Solve for x
    x = 238,583,646,725.06/227,620.13
  6. Step 6: Final answer
    x = 1,048,165.87

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Why These Related Problems?

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