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Finding the Third Proportional to 276,108.75 and 591,553.13

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Solution

The third proportional to 276,108.75 and 591,553.13 is: 1,267,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,108.75 : 591,553.13 = 591,553.13 : x
  2. Step 2: Convert to fraction form
    276,108.75/591,553.13 = 591,553.13/x
  3. Step 3: Cross multiply
    276,108.75x = 591,553.13 × 591,553.13
  4. Step 4: Simplify right side
    276,108.75x = 349,935,099,697.27
  5. Step 5: Solve for x
    x = 349,935,099,697.27/276,108.75
  6. Step 6: Final answer
    x = 1,267,381.42

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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.