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Finding the Third Proportional to 511,560 and 800,736

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Solution

The third proportional to 511,560 and 800,736 is: 1,253,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,560 : 800,736 = 800,736 : x
  2. Step 2: Convert to fraction form
    511,560/800,736 = 800,736/x
  3. Step 3: Cross multiply
    511,560x = 800,736 × 800,736
  4. Step 4: Simplify right side
    511,560x = 641,178,141,696
  5. Step 5: Solve for x
    x = 641,178,141,696/511,560
  6. Step 6: Final answer
    x = 1,253,378.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.