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Finding the Third Proportional to 263,601.75 and 408,511.13

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Solution

The third proportional to 263,601.75 and 408,511.13 is: 633,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,601.75 : 408,511.13 = 408,511.13 : x
  2. Step 2: Convert to fraction form
    263,601.75/408,511.13 = 408,511.13/x
  3. Step 3: Cross multiply
    263,601.75x = 408,511.13 × 408,511.13
  4. Step 4: Simplify right side
    263,601.75x = 166,881,339,248.77
  5. Step 5: Solve for x
    x = 166,881,339,248.77/263,601.75
  6. Step 6: Final answer
    x = 633,081.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.