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Finding the Third Proportional to 311,176.69 and 633,766.78

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Solution

The third proportional to 311,176.69 and 633,766.78 is: 1,290,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,176.69 : 633,766.78 = 633,766.78 : x
  2. Step 2: Convert to fraction form
    311,176.69/633,766.78 = 633,766.78/x
  3. Step 3: Cross multiply
    311,176.69x = 633,766.78 × 633,766.78
  4. Step 4: Simplify right side
    311,176.69x = 401,660,333,015.99
  5. Step 5: Solve for x
    x = 401,660,333,015.99/311,176.69
  6. Step 6: Final answer
    x = 1,290,779.00

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.