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Finding the Third Proportional to 221,676.75 and 476,614.13

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Solution

The third proportional to 221,676.75 and 476,614.13 is: 1,024,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676.75 : 476,614.13 = 476,614.13 : x
  2. Step 2: Convert to fraction form
    221,676.75/476,614.13 = 476,614.13/x
  3. Step 3: Cross multiply
    221,676.75x = 476,614.13 × 476,614.13
  4. Step 4: Simplify right side
    221,676.75x = 227,161,024,149.52
  5. Step 5: Solve for x
    x = 227,161,024,149.52/221,676.75
  6. Step 6: Final answer
    x = 1,024,739.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.