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Finding the Third Proportional to 200,191 and 439,757

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Solution

The third proportional to 200,191 and 439,757 is: 966,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,191 : 439,757 = 439,757 : x
  2. Step 2: Convert to fraction form
    200,191/439,757 = 439,757/x
  3. Step 3: Cross multiply
    200,191x = 439,757 × 439,757
  4. Step 4: Simplify right side
    200,191x = 193,386,219,049
  5. Step 5: Solve for x
    x = 193,386,219,049/200,191
  6. Step 6: Final answer
    x = 966,008.56

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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.