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Finding the Third Proportional to 311,365.69 and 464,644.69

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Solution

The third proportional to 311,365.69 and 464,644.69 is: 693,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,365.69 : 464,644.69 = 464,644.69 : x
  2. Step 2: Convert to fraction form
    311,365.69/464,644.69 = 464,644.69/x
  3. Step 3: Cross multiply
    311,365.69x = 464,644.69 × 464,644.69
  4. Step 4: Simplify right side
    311,365.69x = 215,894,685,621.97
  5. Step 5: Solve for x
    x = 215,894,685,621.97/311,365.69
  6. Step 6: Final answer
    x = 693,379.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.