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Finding the Third Proportional to 200,585 and 440,698

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Solution

The third proportional to 200,585 and 440,698 is: 968,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,585 : 440,698 = 440,698 : x
  2. Step 2: Convert to fraction form
    200,585/440,698 = 440,698/x
  3. Step 3: Cross multiply
    200,585x = 440,698 × 440,698
  4. Step 4: Simplify right side
    200,585x = 194,214,727,204
  5. Step 5: Solve for x
    x = 194,214,727,204/200,585
  6. Step 6: Final answer
    x = 968,241.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.