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Finding the Third Proportional to 311,984 and 673,783

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Solution

The third proportional to 311,984 and 673,783 is: 1,455,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,984 : 673,783 = 673,783 : x
  2. Step 2: Convert to fraction form
    311,984/673,783 = 673,783/x
  3. Step 3: Cross multiply
    311,984x = 673,783 × 673,783
  4. Step 4: Simplify right side
    311,984x = 453,983,531,089
  5. Step 5: Solve for x
    x = 453,983,531,089/311,984
  6. Step 6: Final answer
    x = 1,455,150.04

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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.