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Finding the Third Proportional to 231,832.88 and 488,573.25

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Solution

The third proportional to 231,832.88 and 488,573.25 is: 1,029,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,832.88 : 488,573.25 = 488,573.25 : x
  2. Step 2: Convert to fraction form
    231,832.88/488,573.25 = 488,573.25/x
  3. Step 3: Cross multiply
    231,832.88x = 488,573.25 × 488,573.25
  4. Step 4: Simplify right side
    231,832.88x = 238,703,820,615.56
  5. Step 5: Solve for x
    x = 238,703,820,615.56/231,832.88
  6. Step 6: Final answer
    x = 1,029,637.49

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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.