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Finding the Third Proportional to 395,352 and 852,912

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Solution

The third proportional to 395,352 and 852,912 is: 1,840,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,352 : 852,912 = 852,912 : x
  2. Step 2: Convert to fraction form
    395,352/852,912 = 852,912/x
  3. Step 3: Cross multiply
    395,352x = 852,912 × 852,912
  4. Step 4: Simplify right side
    395,352x = 727,458,879,744
  5. Step 5: Solve for x
    x = 727,458,879,744/395,352
  6. Step 6: Final answer
    x = 1,840,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.