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Finding the Third Proportional to 231,914.25 and 503,485.31

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Solution

The third proportional to 231,914.25 and 503,485.31 is: 1,093,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,914.25 : 503,485.31 = 503,485.31 : x
  2. Step 2: Convert to fraction form
    231,914.25/503,485.31 = 503,485.31/x
  3. Step 3: Cross multiply
    231,914.25x = 503,485.31 × 503,485.31
  4. Step 4: Simplify right side
    231,914.25x = 253,497,459,903.22
  5. Step 5: Solve for x
    x = 253,497,459,903.22/231,914.25
  6. Step 6: Final answer
    x = 1,093,065.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.