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Finding the Third Proportional to 276,019 and 591,386

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Solution

The third proportional to 276,019 and 591,386 is: 1,267,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,019 : 591,386 = 591,386 : x
  2. Step 2: Convert to fraction form
    276,019/591,386 = 591,386/x
  3. Step 3: Cross multiply
    276,019x = 591,386 × 591,386
  4. Step 4: Simplify right side
    276,019x = 349,737,400,996
  5. Step 5: Solve for x
    x = 349,737,400,996/276,019
  6. Step 6: Final answer
    x = 1,267,077.27

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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.