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Finding the Third Proportional to 208,640 and 455,512

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Solution

The third proportional to 208,640 and 455,512 is: 994,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,640 : 455,512 = 455,512 : x
  2. Step 2: Convert to fraction form
    208,640/455,512 = 455,512/x
  3. Step 3: Cross multiply
    208,640x = 455,512 × 455,512
  4. Step 4: Simplify right side
    208,640x = 207,491,182,144
  5. Step 5: Solve for x
    x = 207,491,182,144/208,640
  6. Step 6: Final answer
    x = 994,493.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.