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Finding the Third Proportional to 343,863 and 475,122

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Solution

The third proportional to 343,863 and 475,122 is: 656,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,863 : 475,122 = 475,122 : x
  2. Step 2: Convert to fraction form
    343,863/475,122 = 475,122/x
  3. Step 3: Cross multiply
    343,863x = 475,122 × 475,122
  4. Step 4: Simplify right side
    343,863x = 225,740,914,884
  5. Step 5: Solve for x
    x = 225,740,914,884/343,863
  6. Step 6: Final answer
    x = 656,485.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.