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Finding the Third Proportional to 311,410.69 and 467,116.31

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Solution

The third proportional to 311,410.69 and 467,116.31 is: 700,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.69 : 467,116.31 = 467,116.31 : x
  2. Step 2: Convert to fraction form
    311,410.69/467,116.31 = 467,116.31/x
  3. Step 3: Cross multiply
    311,410.69x = 467,116.31 × 467,116.31
  4. Step 4: Simplify right side
    311,410.69x = 218,197,649,403.60
  5. Step 5: Solve for x
    x = 218,197,649,403.60/311,410.69
  6. Step 6: Final answer
    x = 700,674.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.