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Finding the Third Proportional to 252,916 and 529,214

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Solution

The third proportional to 252,916 and 529,214 is: 1,107,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,916 : 529,214 = 529,214 : x
  2. Step 2: Convert to fraction form
    252,916/529,214 = 529,214/x
  3. Step 3: Cross multiply
    252,916x = 529,214 × 529,214
  4. Step 4: Simplify right side
    252,916x = 280,067,457,796
  5. Step 5: Solve for x
    x = 280,067,457,796/252,916
  6. Step 6: Final answer
    x = 1,107,353.66

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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.