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Finding the Third Proportional to 276,203 and 418,040.50

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Solution

The third proportional to 276,203 and 418,040.50 is: 632,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,203 : 418,040.50 = 418,040.50 : x
  2. Step 2: Convert to fraction form
    276,203/418,040.50 = 418,040.50/x
  3. Step 3: Cross multiply
    276,203x = 418,040.50 × 418,040.50
  4. Step 4: Simplify right side
    276,203x = 174,757,859,640.25
  5. Step 5: Solve for x
    x = 174,757,859,640.25/276,203
  6. Step 6: Final answer
    x = 632,715.28

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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.