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Finding the Third Proportional to 377,773.88 and 816,441.19

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Solution

The third proportional to 377,773.88 and 816,441.19 is: 1,764,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,773.88 : 816,441.19 = 816,441.19 : x
  2. Step 2: Convert to fraction form
    377,773.88/816,441.19 = 816,441.19/x
  3. Step 3: Cross multiply
    377,773.88x = 816,441.19 × 816,441.19
  4. Step 4: Simplify right side
    377,773.88x = 666,576,212,646.41
  5. Step 5: Solve for x
    x = 666,576,212,646.41/377,773.88
  6. Step 6: Final answer
    x = 1,764,484.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.