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Finding the Third Proportional to 252,340 and 533,112

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Solution

The third proportional to 252,340 and 533,112 is: 1,126,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,340 : 533,112 = 533,112 : x
  2. Step 2: Convert to fraction form
    252,340/533,112 = 533,112/x
  3. Step 3: Cross multiply
    252,340x = 533,112 × 533,112
  4. Step 4: Simplify right side
    252,340x = 284,208,404,544
  5. Step 5: Solve for x
    x = 284,208,404,544/252,340
  6. Step 6: Final answer
    x = 1,126,291.53

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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.