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Finding the Third Proportional to 200,586.38 and 440,535.38

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Solution

The third proportional to 200,586.38 and 440,535.38 is: 967,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,586.38 : 440,535.38 = 440,535.38 : x
  2. Step 2: Convert to fraction form
    200,586.38/440,535.38 = 440,535.38/x
  3. Step 3: Cross multiply
    200,586.38x = 440,535.38 × 440,535.38
  4. Step 4: Simplify right side
    200,586.38x = 194,071,416,626.39
  5. Step 5: Solve for x
    x = 194,071,416,626.39/200,586.38
  6. Step 6: Final answer
    x = 967,520.43

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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.