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Finding the Third Proportional to 274,857.19 and 591,267.38

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Solution

The third proportional to 274,857.19 and 591,267.38 is: 1,271,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,857.19 : 591,267.38 = 591,267.38 : x
  2. Step 2: Convert to fraction form
    274,857.19/591,267.38 = 591,267.38/x
  3. Step 3: Cross multiply
    274,857.19x = 591,267.38 × 591,267.38
  4. Step 4: Simplify right side
    274,857.19x = 349,597,108,739.39
  5. Step 5: Solve for x
    x = 349,597,108,739.39/274,857.19
  6. Step 6: Final answer
    x = 1,271,922.75

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Why These Related Problems?

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