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Finding the Third Proportional to 276,022 and 591,392

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Solution

The third proportional to 276,022 and 591,392 is: 1,267,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,022 : 591,392 = 591,392 : x
  2. Step 2: Convert to fraction form
    276,022/591,392 = 591,392/x
  3. Step 3: Cross multiply
    276,022x = 591,392 × 591,392
  4. Step 4: Simplify right side
    276,022x = 349,744,497,664
  5. Step 5: Solve for x
    x = 349,744,497,664/276,022
  6. Step 6: Final answer
    x = 1,267,089.21

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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.