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Finding the Third Proportional to 302,042 and 479,847

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Solution

The third proportional to 302,042 and 479,847 is: 762,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042 : 479,847 = 479,847 : x
  2. Step 2: Convert to fraction form
    302,042/479,847 = 479,847/x
  3. Step 3: Cross multiply
    302,042x = 479,847 × 479,847
  4. Step 4: Simplify right side
    302,042x = 230,253,143,409
  5. Step 5: Solve for x
    x = 230,253,143,409/302,042
  6. Step 6: Final answer
    x = 762,321.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.