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Finding the Third Proportional to 230,081 and 471,314

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Solution

The third proportional to 230,081 and 471,314 is: 965,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,081 : 471,314 = 471,314 : x
  2. Step 2: Convert to fraction form
    230,081/471,314 = 471,314/x
  3. Step 3: Cross multiply
    230,081x = 471,314 × 471,314
  4. Step 4: Simplify right side
    230,081x = 222,136,886,596
  5. Step 5: Solve for x
    x = 222,136,886,596/230,081
  6. Step 6: Final answer
    x = 965,472.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.