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Finding the Third Proportional to 264,584.81 and 399,336.75

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Solution

The third proportional to 264,584.81 and 399,336.75 is: 602,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,584.81 : 399,336.75 = 399,336.75 : x
  2. Step 2: Convert to fraction form
    264,584.81/399,336.75 = 399,336.75/x
  3. Step 3: Cross multiply
    264,584.81x = 399,336.75 × 399,336.75
  4. Step 4: Simplify right side
    264,584.81x = 159,469,839,900.56
  5. Step 5: Solve for x
    x = 159,469,839,900.56/264,584.81
  6. Step 6: Final answer
    x = 602,717.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.