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Finding the Third Proportional to 266,796 and 406,971

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Solution

The third proportional to 266,796 and 406,971 is: 620,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,796 : 406,971 = 406,971 : x
  2. Step 2: Convert to fraction form
    266,796/406,971 = 406,971/x
  3. Step 3: Cross multiply
    266,796x = 406,971 × 406,971
  4. Step 4: Simplify right side
    266,796x = 165,625,394,841
  5. Step 5: Solve for x
    x = 165,625,394,841/266,796
  6. Step 6: Final answer
    x = 620,794.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.