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Finding the Third Proportional to 493,195.50 and 724,236.75

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Solution

The third proportional to 493,195.50 and 724,236.75 is: 1,063,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,195.50 : 724,236.75 = 724,236.75 : x
  2. Step 2: Convert to fraction form
    493,195.50/724,236.75 = 724,236.75/x
  3. Step 3: Cross multiply
    493,195.50x = 724,236.75 × 724,236.75
  4. Step 4: Simplify right side
    493,195.50x = 524,518,870,050.56
  5. Step 5: Solve for x
    x = 524,518,870,050.56/493,195.50
  6. Step 6: Final answer
    x = 1,063,511.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.