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Finding the Third Proportional to 252,921 and 529,224

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Solution

The third proportional to 252,921 and 529,224 is: 1,107,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,921 : 529,224 = 529,224 : x
  2. Step 2: Convert to fraction form
    252,921/529,224 = 529,224/x
  3. Step 3: Cross multiply
    252,921x = 529,224 × 529,224
  4. Step 4: Simplify right side
    252,921x = 280,078,042,176
  5. Step 5: Solve for x
    x = 280,078,042,176/252,921
  6. Step 6: Final answer
    x = 1,107,373.62

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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.