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Finding the Third Proportional to 252,925 and 529,231

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Solution

The third proportional to 252,925 and 529,231 is: 1,107,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,925 : 529,231 = 529,231 : x
  2. Step 2: Convert to fraction form
    252,925/529,231 = 529,231/x
  3. Step 3: Cross multiply
    252,925x = 529,231 × 529,231
  4. Step 4: Simplify right side
    252,925x = 280,085,451,361
  5. Step 5: Solve for x
    x = 280,085,451,361/252,925
  6. Step 6: Final answer
    x = 1,107,385.40

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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.