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Finding the Third Proportional to 366,983 and 773,863

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Solution

The third proportional to 366,983 and 773,863 is: 1,631,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,983 : 773,863 = 773,863 : x
  2. Step 2: Convert to fraction form
    366,983/773,863 = 773,863/x
  3. Step 3: Cross multiply
    366,983x = 773,863 × 773,863
  4. Step 4: Simplify right side
    366,983x = 598,863,942,769
  5. Step 5: Solve for x
    x = 598,863,942,769/366,983
  6. Step 6: Final answer
    x = 1,631,857.45

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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.