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Finding the Third Proportional to 354,640 and 759,104

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Solution

The third proportional to 354,640 and 759,104 is: 1,624,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,640 : 759,104 = 759,104 : x
  2. Step 2: Convert to fraction form
    354,640/759,104 = 759,104/x
  3. Step 3: Cross multiply
    354,640x = 759,104 × 759,104
  4. Step 4: Simplify right side
    354,640x = 576,238,882,816
  5. Step 5: Solve for x
    x = 576,238,882,816/354,640
  6. Step 6: Final answer
    x = 1,624,855.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.