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Finding the Third Proportional to 231,853.50 and 488,612.25

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Solution

The third proportional to 231,853.50 and 488,612.25 is: 1,029,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,853.50 : 488,612.25 = 488,612.25 : x
  2. Step 2: Convert to fraction form
    231,853.50/488,612.25 = 488,612.25/x
  3. Step 3: Cross multiply
    231,853.50x = 488,612.25 × 488,612.25
  4. Step 4: Simplify right side
    231,853.50x = 238,741,930,850.06
  5. Step 5: Solve for x
    x = 238,741,930,850.06/231,853.50
  6. Step 6: Final answer
    x = 1,029,710.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.