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Finding the Third Proportional to 276,203 and 418,041

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Solution

The third proportional to 276,203 and 418,041 is: 632,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,203 : 418,041 = 418,041 : x
  2. Step 2: Convert to fraction form
    276,203/418,041 = 418,041/x
  3. Step 3: Cross multiply
    276,203x = 418,041 × 418,041
  4. Step 4: Simplify right side
    276,203x = 174,758,277,681
  5. Step 5: Solve for x
    x = 174,758,277,681/276,203
  6. Step 6: Final answer
    x = 632,716.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.