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Finding the Third Proportional to 200,754 and 441,431

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Solution

The third proportional to 200,754 and 441,431 is: 970,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754 : 441,431 = 441,431 : x
  2. Step 2: Convert to fraction form
    200,754/441,431 = 441,431/x
  3. Step 3: Cross multiply
    200,754x = 441,431 × 441,431
  4. Step 4: Simplify right side
    200,754x = 194,861,327,761
  5. Step 5: Solve for x
    x = 194,861,327,761/200,754
  6. Step 6: Final answer
    x = 970,647.30

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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.