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Finding the Third Proportional to 208,048 and 440,888

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Solution

The third proportional to 208,048 and 440,888 is: 934,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048 : 440,888 = 440,888 : x
  2. Step 2: Convert to fraction form
    208,048/440,888 = 440,888/x
  3. Step 3: Cross multiply
    208,048x = 440,888 × 440,888
  4. Step 4: Simplify right side
    208,048x = 194,382,228,544
  5. Step 5: Solve for x
    x = 194,382,228,544/208,048
  6. Step 6: Final answer
    x = 934,314.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.