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Finding the Third Proportional to 208,486 and 455,204

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Solution

The third proportional to 208,486 and 455,204 is: 993,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486 : 455,204 = 455,204 : x
  2. Step 2: Convert to fraction form
    208,486/455,204 = 455,204/x
  3. Step 3: Cross multiply
    208,486x = 455,204 × 455,204
  4. Step 4: Simplify right side
    208,486x = 207,210,681,616
  5. Step 5: Solve for x
    x = 207,210,681,616/208,486
  6. Step 6: Final answer
    x = 993,882.95

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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.