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Finding the Third Proportional to 200,713 and 440,790

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Solution

The third proportional to 200,713 and 440,790 is: 968,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,713 : 440,790 = 440,790 : x
  2. Step 2: Convert to fraction form
    200,713/440,790 = 440,790/x
  3. Step 3: Cross multiply
    200,713x = 440,790 × 440,790
  4. Step 4: Simplify right side
    200,713x = 194,295,824,100
  5. Step 5: Solve for x
    x = 194,295,824,100/200,713
  6. Step 6: Final answer
    x = 968,028.10

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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.