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Finding the Third Proportional to 347,949 and 741,474

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Solution

The third proportional to 347,949 and 741,474 is: 1,580,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,949 : 741,474 = 741,474 : x
  2. Step 2: Convert to fraction form
    347,949/741,474 = 741,474/x
  3. Step 3: Cross multiply
    347,949x = 741,474 × 741,474
  4. Step 4: Simplify right side
    347,949x = 549,783,692,676
  5. Step 5: Solve for x
    x = 549,783,692,676/347,949
  6. Step 6: Final answer
    x = 1,580,069.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.