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Finding the Third Proportional to 481,758 and 1,058,851.50

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Solution

The third proportional to 481,758 and 1,058,851.50 is: 2,327,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,758 : 1,058,851.50 = 1,058,851.50 : x
  2. Step 2: Convert to fraction form
    481,758/1,058,851.50 = 1,058,851.50/x
  3. Step 3: Cross multiply
    481,758x = 1,058,851.50 × 1,058,851.50
  4. Step 4: Simplify right side
    481,758x = 1,121,166,499,052.25
  5. Step 5: Solve for x
    x = 1,121,166,499,052.25/481,758
  6. Step 6: Final answer
    x = 2,327,240.02

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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.