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Finding the Third Proportional to 352,134 and 526,851

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Solution

The third proportional to 352,134 and 526,851 is: 788,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,134 : 526,851 = 526,851 : x
  2. Step 2: Convert to fraction form
    352,134/526,851 = 526,851/x
  3. Step 3: Cross multiply
    352,134x = 526,851 × 526,851
  4. Step 4: Simplify right side
    352,134x = 277,571,976,201
  5. Step 5: Solve for x
    x = 277,571,976,201/352,134
  6. Step 6: Final answer
    x = 788,256.68

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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.