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Finding the Third Proportional to 681,523.88 and 1,058,219.44

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Solution

The third proportional to 681,523.88 and 1,058,219.44 is: 1,643,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,523.88 : 1,058,219.44 = 1,058,219.44 : x
  2. Step 2: Convert to fraction form
    681,523.88/1,058,219.44 = 1,058,219.44/x
  3. Step 3: Cross multiply
    681,523.88x = 1,058,219.44 × 1,058,219.44
  4. Step 4: Simplify right side
    681,523.88x = 1,119,828,377,902.82
  5. Step 5: Solve for x
    x = 1,119,828,377,902.82/681,523.88
  6. Step 6: Final answer
    x = 1,643,124.21

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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.