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Finding the Third Proportional to 200,576 and 440,519.50

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Solution

The third proportional to 200,576 and 440,519.50 is: 967,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576 : 440,519.50 = 440,519.50 : x
  2. Step 2: Convert to fraction form
    200,576/440,519.50 = 440,519.50/x
  3. Step 3: Cross multiply
    200,576x = 440,519.50 × 440,519.50
  4. Step 4: Simplify right side
    200,576x = 194,057,429,880.25
  5. Step 5: Solve for x
    x = 194,057,429,880.25/200,576
  6. Step 6: Final answer
    x = 967,500.75

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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.