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Finding the Third Proportional to 274,860 and 591,273

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Solution

The third proportional to 274,860 and 591,273 is: 1,271,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,860 : 591,273 = 591,273 : x
  2. Step 2: Convert to fraction form
    274,860/591,273 = 591,273/x
  3. Step 3: Cross multiply
    274,860x = 591,273 × 591,273
  4. Step 4: Simplify right side
    274,860x = 349,603,760,529
  5. Step 5: Solve for x
    x = 349,603,760,529/274,860
  6. Step 6: Final answer
    x = 1,271,933.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.