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Finding the Third Proportional to 200,589.75 and 440,542.13

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Solution

The third proportional to 200,589.75 and 440,542.13 is: 967,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589.75 : 440,542.13 = 440,542.13 : x
  2. Step 2: Convert to fraction form
    200,589.75/440,542.13 = 440,542.13/x
  3. Step 3: Cross multiply
    200,589.75x = 440,542.13 × 440,542.13
  4. Step 4: Simplify right side
    200,589.75x = 194,077,363,899.52
  5. Step 5: Solve for x
    x = 194,077,363,899.52/200,589.75
  6. Step 6: Final answer
    x = 967,533.80

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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.