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Finding the Third Proportional to 338,696 and 757,584

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Solution

The third proportional to 338,696 and 757,584 is: 1,694,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,696 : 757,584 = 757,584 : x
  2. Step 2: Convert to fraction form
    338,696/757,584 = 757,584/x
  3. Step 3: Cross multiply
    338,696x = 757,584 × 757,584
  4. Step 4: Simplify right side
    338,696x = 573,933,517,056
  5. Step 5: Solve for x
    x = 573,933,517,056/338,696
  6. Step 6: Final answer
    x = 1,694,538.81

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.