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Finding the Third Proportional to 311,693.54 and 673,118.54

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Solution

The third proportional to 311,693.54 and 673,118.54 is: 1,453,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,693.54 : 673,118.54 = 673,118.54 : x
  2. Step 2: Convert to fraction form
    311,693.54/673,118.54 = 673,118.54/x
  3. Step 3: Cross multiply
    311,693.54x = 673,118.54 × 673,118.54
  4. Step 4: Simplify right side
    311,693.54x = 453,088,572,888.37
  5. Step 5: Solve for x
    x = 453,088,572,888.37/311,693.54
  6. Step 6: Final answer
    x = 1,453,634.80

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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.