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Finding the Third Proportional to 208,011 and 405,654

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Solution

The third proportional to 208,011 and 405,654 is: 791,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,011 : 405,654 = 405,654 : x
  2. Step 2: Convert to fraction form
    208,011/405,654 = 405,654/x
  3. Step 3: Cross multiply
    208,011x = 405,654 × 405,654
  4. Step 4: Simplify right side
    208,011x = 164,555,167,716
  5. Step 5: Solve for x
    x = 164,555,167,716/208,011
  6. Step 6: Final answer
    x = 791,088.78

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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.