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Finding the Third Proportional to 300,773.50 and 423,181.50

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Solution

The third proportional to 300,773.50 and 423,181.50 is: 595,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,773.50 : 423,181.50 = 423,181.50 : x
  2. Step 2: Convert to fraction form
    300,773.50/423,181.50 = 423,181.50/x
  3. Step 3: Cross multiply
    300,773.50x = 423,181.50 × 423,181.50
  4. Step 4: Simplify right side
    300,773.50x = 179,082,581,942.25
  5. Step 5: Solve for x
    x = 179,082,581,942.25/300,773.50
  6. Step 6: Final answer
    x = 595,406.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.