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Finding the Third Proportional to 252,342 and 533,116

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Solution

The third proportional to 252,342 and 533,116 is: 1,126,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,342 : 533,116 = 533,116 : x
  2. Step 2: Convert to fraction form
    252,342/533,116 = 533,116/x
  3. Step 3: Cross multiply
    252,342x = 533,116 × 533,116
  4. Step 4: Simplify right side
    252,342x = 284,212,669,456
  5. Step 5: Solve for x
    x = 284,212,669,456/252,342
  6. Step 6: Final answer
    x = 1,126,299.50

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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.