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Finding the Third Proportional to 252,936 and 533,736

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Solution

The third proportional to 252,936 and 533,736 is: 1,126,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,936 : 533,736 = 533,736 : x
  2. Step 2: Convert to fraction form
    252,936/533,736 = 533,736/x
  3. Step 3: Cross multiply
    252,936x = 533,736 × 533,736
  4. Step 4: Simplify right side
    252,936x = 284,874,117,696
  5. Step 5: Solve for x
    x = 284,874,117,696/252,936
  6. Step 6: Final answer
    x = 1,126,269.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.