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Finding the Third Proportional to 276,016 and 591,380

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Solution

The third proportional to 276,016 and 591,380 is: 1,267,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,016 : 591,380 = 591,380 : x
  2. Step 2: Convert to fraction form
    276,016/591,380 = 591,380/x
  3. Step 3: Cross multiply
    276,016x = 591,380 × 591,380
  4. Step 4: Simplify right side
    276,016x = 349,730,304,400
  5. Step 5: Solve for x
    x = 349,730,304,400/276,016
  6. Step 6: Final answer
    x = 1,267,065.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.