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Finding the Third Proportional to 231,871.50 and 503,399.25

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Solution

The third proportional to 231,871.50 and 503,399.25 is: 1,092,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,871.50 : 503,399.25 = 503,399.25 : x
  2. Step 2: Convert to fraction form
    231,871.50/503,399.25 = 503,399.25/x
  3. Step 3: Cross multiply
    231,871.50x = 503,399.25 × 503,399.25
  4. Step 4: Simplify right side
    231,871.50x = 253,410,804,900.56
  5. Step 5: Solve for x
    x = 253,410,804,900.56/231,871.50
  6. Step 6: Final answer
    x = 1,092,893.28

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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.