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Finding the Third Proportional to 240,414 and 366,977

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Solution

The third proportional to 240,414 and 366,977 is: 560,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,414 : 366,977 = 366,977 : x
  2. Step 2: Convert to fraction form
    240,414/366,977 = 366,977/x
  3. Step 3: Cross multiply
    240,414x = 366,977 × 366,977
  4. Step 4: Simplify right side
    240,414x = 134,672,118,529
  5. Step 5: Solve for x
    x = 134,672,118,529/240,414
  6. Step 6: Final answer
    x = 560,167.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.