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Finding the Third Proportional to 228,237.75 and 488,133.84

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Solution

The third proportional to 228,237.75 and 488,133.84 is: 1,043,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,237.75 : 488,133.84 = 488,133.84 : x
  2. Step 2: Convert to fraction form
    228,237.75/488,133.84 = 488,133.84/x
  3. Step 3: Cross multiply
    228,237.75x = 488,133.84 × 488,133.84
  4. Step 4: Simplify right side
    228,237.75x = 238,274,649,414.15
  5. Step 5: Solve for x
    x = 238,274,649,414.15/228,237.75
  6. Step 6: Final answer
    x = 1,043,975.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.