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Finding the Third Proportional to 241,340 and 520,082

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Solution

The third proportional to 241,340 and 520,082 is: 1,120,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,340 : 520,082 = 520,082 : x
  2. Step 2: Convert to fraction form
    241,340/520,082 = 520,082/x
  3. Step 3: Cross multiply
    241,340x = 520,082 × 520,082
  4. Step 4: Simplify right side
    241,340x = 270,485,286,724
  5. Step 5: Solve for x
    x = 270,485,286,724/241,340
  6. Step 6: Final answer
    x = 1,120,764.43

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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.