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Finding the Third Proportional to 230,450 and 479,293

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Solution

The third proportional to 230,450 and 479,293 is: 996,840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,450 : 479,293 = 479,293 : x
  2. Step 2: Convert to fraction form
    230,450/479,293 = 479,293/x
  3. Step 3: Cross multiply
    230,450x = 479,293 × 479,293
  4. Step 4: Simplify right side
    230,450x = 229,721,779,849
  5. Step 5: Solve for x
    x = 229,721,779,849/230,450
  6. Step 6: Final answer
    x = 996,840.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.