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Finding the Third Proportional to 207,926 and 449,041

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Solution

The third proportional to 207,926 and 449,041 is: 969,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,926 : 449,041 = 449,041 : x
  2. Step 2: Convert to fraction form
    207,926/449,041 = 449,041/x
  3. Step 3: Cross multiply
    207,926x = 449,041 × 449,041
  4. Step 4: Simplify right side
    207,926x = 201,637,819,681
  5. Step 5: Solve for x
    x = 201,637,819,681/207,926
  6. Step 6: Final answer
    x = 969,757.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.