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Finding the Third Proportional to 252,922.50 and 529,227

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Solution

The third proportional to 252,922.50 and 529,227 is: 1,107,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,922.50 : 529,227 = 529,227 : x
  2. Step 2: Convert to fraction form
    252,922.50/529,227 = 529,227/x
  3. Step 3: Cross multiply
    252,922.50x = 529,227 × 529,227
  4. Step 4: Simplify right side
    252,922.50x = 280,081,217,529
  5. Step 5: Solve for x
    x = 280,081,217,529/252,922.50
  6. Step 6: Final answer
    x = 1,107,379.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.