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Finding the Third Proportional to 200,568.94 and 440,503.31

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Solution

The third proportional to 200,568.94 and 440,503.31 is: 967,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,568.94 : 440,503.31 = 440,503.31 : x
  2. Step 2: Convert to fraction form
    200,568.94/440,503.31 = 440,503.31/x
  3. Step 3: Cross multiply
    200,568.94x = 440,503.31 × 440,503.31
  4. Step 4: Simplify right side
    200,568.94x = 194,043,168,323.47
  5. Step 5: Solve for x
    x = 194,043,168,323.47/200,568.94
  6. Step 6: Final answer
    x = 967,463.71

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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.