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Finding the Third Proportional to 338,599.69 and 705,223.97

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Solution

The third proportional to 338,599.69 and 705,223.97 is: 1,468,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,599.69 : 705,223.97 = 705,223.97 : x
  2. Step 2: Convert to fraction form
    338,599.69/705,223.97 = 705,223.97/x
  3. Step 3: Cross multiply
    338,599.69x = 705,223.97 × 705,223.97
  4. Step 4: Simplify right side
    338,599.69x = 497,340,846,099.50
  5. Step 5: Solve for x
    x = 497,340,846,099.50/338,599.69
  6. Step 6: Final answer
    x = 1,468,816.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.