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Finding the Third Proportional to 403,806.75 and 588,183.75

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Solution

The third proportional to 403,806.75 and 588,183.75 is: 856,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,806.75 : 588,183.75 = 588,183.75 : x
  2. Step 2: Convert to fraction form
    403,806.75/588,183.75 = 588,183.75/x
  3. Step 3: Cross multiply
    403,806.75x = 588,183.75 × 588,183.75
  4. Step 4: Simplify right side
    403,806.75x = 345,960,123,764.06
  5. Step 5: Solve for x
    x = 345,960,123,764.06/403,806.75
  6. Step 6: Final answer
    x = 856,746.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.