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Finding the Third Proportional to 208,048 and 447,697

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Solution

The third proportional to 208,048 and 447,697 is: 963,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048 : 447,697 = 447,697 : x
  2. Step 2: Convert to fraction form
    208,048/447,697 = 447,697/x
  3. Step 3: Cross multiply
    208,048x = 447,697 × 447,697
  4. Step 4: Simplify right side
    208,048x = 200,432,603,809
  5. Step 5: Solve for x
    x = 200,432,603,809/208,048
  6. Step 6: Final answer
    x = 963,395.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.