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Finding the Third Proportional to 343,949 and 467,074

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Solution

The third proportional to 343,949 and 467,074 is: 634,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,949 : 467,074 = 467,074 : x
  2. Step 2: Convert to fraction form
    343,949/467,074 = 467,074/x
  3. Step 3: Cross multiply
    343,949x = 467,074 × 467,074
  4. Step 4: Simplify right side
    343,949x = 218,158,121,476
  5. Step 5: Solve for x
    x = 218,158,121,476/343,949
  6. Step 6: Final answer
    x = 634,274.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.