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Finding the Third Proportional to 276,018 and 591,384

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Solution

The third proportional to 276,018 and 591,384 is: 1,267,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,018 : 591,384 = 591,384 : x
  2. Step 2: Convert to fraction form
    276,018/591,384 = 591,384/x
  3. Step 3: Cross multiply
    276,018x = 591,384 × 591,384
  4. Step 4: Simplify right side
    276,018x = 349,735,035,456
  5. Step 5: Solve for x
    x = 349,735,035,456/276,018
  6. Step 6: Final answer
    x = 1,267,073.29

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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.