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Finding the Third Proportional to 305,524 and 671,234

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Solution

The third proportional to 305,524 and 671,234 is: 1,474,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,524 : 671,234 = 671,234 : x
  2. Step 2: Convert to fraction form
    305,524/671,234 = 671,234/x
  3. Step 3: Cross multiply
    305,524x = 671,234 × 671,234
  4. Step 4: Simplify right side
    305,524x = 450,555,082,756
  5. Step 5: Solve for x
    x = 450,555,082,756/305,524
  6. Step 6: Final answer
    x = 1,474,696.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.