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Finding the Third Proportional to 352,769 and 775,771

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Solution

The third proportional to 352,769 and 775,771 is: 1,705,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,769 : 775,771 = 775,771 : x
  2. Step 2: Convert to fraction form
    352,769/775,771 = 775,771/x
  3. Step 3: Cross multiply
    352,769x = 775,771 × 775,771
  4. Step 4: Simplify right side
    352,769x = 601,820,644,441
  5. Step 5: Solve for x
    x = 601,820,644,441/352,769
  6. Step 6: Final answer
    x = 1,705,990.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.