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Finding the Third Proportional to 276,304 and 591,812

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Solution

The third proportional to 276,304 and 591,812 is: 1,267,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,304 : 591,812 = 591,812 : x
  2. Step 2: Convert to fraction form
    276,304/591,812 = 591,812/x
  3. Step 3: Cross multiply
    276,304x = 591,812 × 591,812
  4. Step 4: Simplify right side
    276,304x = 350,241,443,344
  5. Step 5: Solve for x
    x = 350,241,443,344/276,304
  6. Step 6: Final answer
    x = 1,267,594.55

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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.