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Finding the Third Proportional to 230,060 and 471,276

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Solution

The third proportional to 230,060 and 471,276 is: 965,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,060 : 471,276 = 471,276 : x
  2. Step 2: Convert to fraction form
    230,060/471,276 = 471,276/x
  3. Step 3: Cross multiply
    230,060x = 471,276 × 471,276
  4. Step 4: Simplify right side
    230,060x = 222,101,068,176
  5. Step 5: Solve for x
    x = 222,101,068,176/230,060
  6. Step 6: Final answer
    x = 965,404.97

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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.