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Finding the Third Proportional to 200,579.81 and 440,524.69

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Solution

The third proportional to 200,579.81 and 440,524.69 is: 967,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,579.81 : 440,524.69 = 440,524.69 : x
  2. Step 2: Convert to fraction form
    200,579.81/440,524.69 = 440,524.69/x
  3. Step 3: Cross multiply
    200,579.81x = 440,524.69 × 440,524.69
  4. Step 4: Simplify right side
    200,579.81x = 194,062,000,296.97
  5. Step 5: Solve for x
    x = 194,062,000,296.97/200,579.81
  6. Step 6: Final answer
    x = 967,505.14

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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.