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Finding the Third Proportional to 230,558 and 500,500

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Solution

The third proportional to 230,558 and 500,500 is: 1,086,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,558 : 500,500 = 500,500 : x
  2. Step 2: Convert to fraction form
    230,558/500,500 = 500,500/x
  3. Step 3: Cross multiply
    230,558x = 500,500 × 500,500
  4. Step 4: Simplify right side
    230,558x = 250,500,250,000
  5. Step 5: Solve for x
    x = 250,500,250,000/230,558
  6. Step 6: Final answer
    x = 1,086,495.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.