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Finding the Third Proportional to 223,757.44 and 486,470.81

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Solution

The third proportional to 223,757.44 and 486,470.81 is: 1,057,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,757.44 : 486,470.81 = 486,470.81 : x
  2. Step 2: Convert to fraction form
    223,757.44/486,470.81 = 486,470.81/x
  3. Step 3: Cross multiply
    223,757.44x = 486,470.81 × 486,470.81
  4. Step 4: Simplify right side
    223,757.44x = 236,653,851,414.41
  5. Step 5: Solve for x
    x = 236,653,851,414.41/223,757.44
  6. Step 6: Final answer
    x = 1,057,635.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.