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Finding the Third Proportional to 343,512 and 519,027

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Solution

The third proportional to 343,512 and 519,027 is: 784,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,512 : 519,027 = 519,027 : x
  2. Step 2: Convert to fraction form
    343,512/519,027 = 519,027/x
  3. Step 3: Cross multiply
    343,512x = 519,027 × 519,027
  4. Step 4: Simplify right side
    343,512x = 269,389,026,729
  5. Step 5: Solve for x
    x = 269,389,026,729/343,512
  6. Step 6: Final answer
    x = 784,220.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.