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Finding the Third Proportional to 266,781 and 406,947

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Solution

The third proportional to 266,781 and 406,947 is: 620,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,781 : 406,947 = 406,947 : x
  2. Step 2: Convert to fraction form
    266,781/406,947 = 406,947/x
  3. Step 3: Cross multiply
    266,781x = 406,947 × 406,947
  4. Step 4: Simplify right side
    266,781x = 165,605,860,809
  5. Step 5: Solve for x
    x = 165,605,860,809/266,781
  6. Step 6: Final answer
    x = 620,755.83

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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.