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Finding the Third Proportional to 367,015 and 561,493

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Solution

The third proportional to 367,015 and 561,493 is: 859,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,015 : 561,493 = 561,493 : x
  2. Step 2: Convert to fraction form
    367,015/561,493 = 561,493/x
  3. Step 3: Cross multiply
    367,015x = 561,493 × 561,493
  4. Step 4: Simplify right side
    367,015x = 315,274,389,049
  5. Step 5: Solve for x
    x = 315,274,389,049/367,015
  6. Step 6: Final answer
    x = 859,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.