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Finding the Third Proportional to 208,467 and 406,566

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Solution

The third proportional to 208,467 and 406,566 is: 792,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,467 : 406,566 = 406,566 : x
  2. Step 2: Convert to fraction form
    208,467/406,566 = 406,566/x
  3. Step 3: Cross multiply
    208,467x = 406,566 × 406,566
  4. Step 4: Simplify right side
    208,467x = 165,295,912,356
  5. Step 5: Solve for x
    x = 165,295,912,356/208,467
  6. Step 6: Final answer
    x = 792,911.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.