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Finding the Third Proportional to 221,172.19 and 483,741.56

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Solution

The third proportional to 221,172.19 and 483,741.56 is: 1,058,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,172.19 : 483,741.56 = 483,741.56 : x
  2. Step 2: Convert to fraction form
    221,172.19/483,741.56 = 483,741.56/x
  3. Step 3: Cross multiply
    221,172.19x = 483,741.56 × 483,741.56
  4. Step 4: Simplify right side
    221,172.19x = 234,005,899,289.94
  5. Step 5: Solve for x
    x = 234,005,899,289.94/221,172.19
  6. Step 6: Final answer
    x = 1,058,025.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.