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Finding the Third Proportional to 481,765.50 and 1,058,863.50

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Solution

The third proportional to 481,765.50 and 1,058,863.50 is: 2,327,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,765.50 : 1,058,863.50 = 1,058,863.50 : x
  2. Step 2: Convert to fraction form
    481,765.50/1,058,863.50 = 1,058,863.50/x
  3. Step 3: Cross multiply
    481,765.50x = 1,058,863.50 × 1,058,863.50
  4. Step 4: Simplify right side
    481,765.50x = 1,121,191,911,632.25
  5. Step 5: Solve for x
    x = 1,121,191,911,632.25/481,765.50
  6. Step 6: Final answer
    x = 2,327,256.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.