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Finding the Third Proportional to 351,112 and 529,766

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Solution

The third proportional to 351,112 and 529,766 is: 799,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,112 : 529,766 = 529,766 : x
  2. Step 2: Convert to fraction form
    351,112/529,766 = 529,766/x
  3. Step 3: Cross multiply
    351,112x = 529,766 × 529,766
  4. Step 4: Simplify right side
    351,112x = 280,652,014,756
  5. Step 5: Solve for x
    x = 280,652,014,756/351,112
  6. Step 6: Final answer
    x = 799,323.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.