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Finding the Third Proportional to 681,351.75 and 1,058,001.75

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Solution

The third proportional to 681,351.75 and 1,058,001.75 is: 1,642,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,351.75 : 1,058,001.75 = 1,058,001.75 : x
  2. Step 2: Convert to fraction form
    681,351.75/1,058,001.75 = 1,058,001.75/x
  3. Step 3: Cross multiply
    681,351.75x = 1,058,001.75 × 1,058,001.75
  4. Step 4: Simplify right side
    681,351.75x = 1,119,367,703,003.06
  5. Step 5: Solve for x
    x = 1,119,367,703,003.06/681,351.75
  6. Step 6: Final answer
    x = 1,642,863.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.