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Finding the Third Proportional to 204,555.38 and 446,286.38

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Solution

The third proportional to 204,555.38 and 446,286.38 is: 973,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,555.38 : 446,286.38 = 446,286.38 : x
  2. Step 2: Convert to fraction form
    204,555.38/446,286.38 = 446,286.38/x
  3. Step 3: Cross multiply
    204,555.38x = 446,286.38 × 446,286.38
  4. Step 4: Simplify right side
    204,555.38x = 199,171,528,510.64
  5. Step 5: Solve for x
    x = 199,171,528,510.64/204,555.38
  6. Step 6: Final answer
    x = 973,680.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.