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Finding the Third Proportional to 366,981 and 773,859

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Solution

The third proportional to 366,981 and 773,859 is: 1,631,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,981 : 773,859 = 773,859 : x
  2. Step 2: Convert to fraction form
    366,981/773,859 = 773,859/x
  3. Step 3: Cross multiply
    366,981x = 773,859 × 773,859
  4. Step 4: Simplify right side
    366,981x = 598,857,751,881
  5. Step 5: Solve for x
    x = 598,857,751,881/366,981
  6. Step 6: Final answer
    x = 1,631,849.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.