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Finding the Third Proportional to 331,659 and 526,015

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Solution

The third proportional to 331,659 and 526,015 is: 834,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,659 : 526,015 = 526,015 : x
  2. Step 2: Convert to fraction form
    331,659/526,015 = 526,015/x
  3. Step 3: Cross multiply
    331,659x = 526,015 × 526,015
  4. Step 4: Simplify right side
    331,659x = 276,691,780,225
  5. Step 5: Solve for x
    x = 276,691,780,225/331,659
  6. Step 6: Final answer
    x = 834,265.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.