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Finding the Third Proportional to 352,110 and 526,812

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Solution

The third proportional to 352,110 and 526,812 is: 788,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,110 : 526,812 = 526,812 : x
  2. Step 2: Convert to fraction form
    352,110/526,812 = 526,812/x
  3. Step 3: Cross multiply
    352,110x = 526,812 × 526,812
  4. Step 4: Simplify right side
    352,110x = 277,530,883,344
  5. Step 5: Solve for x
    x = 277,530,883,344/352,110
  6. Step 6: Final answer
    x = 788,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.