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Finding the Third Proportional to 208,287 and 448,218

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Solution

The third proportional to 208,287 and 448,218 is: 964,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,287 : 448,218 = 448,218 : x
  2. Step 2: Convert to fraction form
    208,287/448,218 = 448,218/x
  3. Step 3: Cross multiply
    208,287x = 448,218 × 448,218
  4. Step 4: Simplify right side
    208,287x = 200,899,375,524
  5. Step 5: Solve for x
    x = 200,899,375,524/208,287
  6. Step 6: Final answer
    x = 964,531.51

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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.