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Finding the Third Proportional to 203,224 and 446,670

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Solution

The third proportional to 203,224 and 446,670 is: 981,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,224 : 446,670 = 446,670 : x
  2. Step 2: Convert to fraction form
    203,224/446,670 = 446,670/x
  3. Step 3: Cross multiply
    203,224x = 446,670 × 446,670
  4. Step 4: Simplify right side
    203,224x = 199,514,088,900
  5. Step 5: Solve for x
    x = 199,514,088,900/203,224
  6. Step 6: Final answer
    x = 981,744.72

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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.