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Finding the Third Proportional to 560,736 and 806,016

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Solution

The third proportional to 560,736 and 806,016 is: 1,158,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,736 : 806,016 = 806,016 : x
  2. Step 2: Convert to fraction form
    560,736/806,016 = 806,016/x
  3. Step 3: Cross multiply
    560,736x = 806,016 × 806,016
  4. Step 4: Simplify right side
    560,736x = 649,661,792,256
  5. Step 5: Solve for x
    x = 649,661,792,256/560,736
  6. Step 6: Final answer
    x = 1,158,587.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.