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Finding the Third Proportional to 200,715 and 440,794

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Solution

The third proportional to 200,715 and 440,794 is: 968,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715 : 440,794 = 440,794 : x
  2. Step 2: Convert to fraction form
    200,715/440,794 = 440,794/x
  3. Step 3: Cross multiply
    200,715x = 440,794 × 440,794
  4. Step 4: Simplify right side
    200,715x = 194,299,350,436
  5. Step 5: Solve for x
    x = 194,299,350,436/200,715
  6. Step 6: Final answer
    x = 968,036.02

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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.