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Finding the Third Proportional to 229,586.25 and 536,121.75

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Solution

The third proportional to 229,586.25 and 536,121.75 is: 1,251,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,586.25 : 536,121.75 = 536,121.75 : x
  2. Step 2: Convert to fraction form
    229,586.25/536,121.75 = 536,121.75/x
  3. Step 3: Cross multiply
    229,586.25x = 536,121.75 × 536,121.75
  4. Step 4: Simplify right side
    229,586.25x = 287,426,530,823.06
  5. Step 5: Solve for x
    x = 287,426,530,823.06/229,586.25
  6. Step 6: Final answer
    x = 1,251,932.69

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.