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Finding the Third Proportional to 228,825.42 and 492,087.66

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Solution

The third proportional to 228,825.42 and 492,087.66 is: 1,058,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,825.42 : 492,087.66 = 492,087.66 : x
  2. Step 2: Convert to fraction form
    228,825.42/492,087.66 = 492,087.66/x
  3. Step 3: Cross multiply
    228,825.42x = 492,087.66 × 492,087.66
  4. Step 4: Simplify right side
    228,825.42x = 242,150,261,433.62
  5. Step 5: Solve for x
    x = 242,150,261,433.62/228,825.42
  6. Step 6: Final answer
    x = 1,058,231.47

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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.