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Finding the Third Proportional to 352,104 and 526,806

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Solution

The third proportional to 352,104 and 526,806 is: 788,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,104 : 526,806 = 526,806 : x
  2. Step 2: Convert to fraction form
    352,104/526,806 = 526,806/x
  3. Step 3: Cross multiply
    352,104x = 526,806 × 526,806
  4. Step 4: Simplify right side
    352,104x = 277,524,561,636
  5. Step 5: Solve for x
    x = 277,524,561,636/352,104
  6. Step 6: Final answer
    x = 788,189.18

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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.