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Finding the Third Proportional to 511,110 and 773,766

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Solution

The third proportional to 511,110 and 773,766 is: 1,171,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,110 : 773,766 = 773,766 : x
  2. Step 2: Convert to fraction form
    511,110/773,766 = 773,766/x
  3. Step 3: Cross multiply
    511,110x = 773,766 × 773,766
  4. Step 4: Simplify right side
    511,110x = 598,713,822,756
  5. Step 5: Solve for x
    x = 598,713,822,756/511,110
  6. Step 6: Final answer
    x = 1,171,399.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.