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Finding the Third Proportional to 230,935.50 and 480,237.75

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Solution

The third proportional to 230,935.50 and 480,237.75 is: 998,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,935.50 : 480,237.75 = 480,237.75 : x
  2. Step 2: Convert to fraction form
    230,935.50/480,237.75 = 480,237.75/x
  3. Step 3: Cross multiply
    230,935.50x = 480,237.75 × 480,237.75
  4. Step 4: Simplify right side
    230,935.50x = 230,628,296,525.06
  5. Step 5: Solve for x
    x = 230,628,296,525.06/230,935.50
  6. Step 6: Final answer
    x = 998,669.74

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.