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Finding the Third Proportional to 367,794 and 562,383

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Solution

The third proportional to 367,794 and 562,383 is: 859,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,794 : 562,383 = 562,383 : x
  2. Step 2: Convert to fraction form
    367,794/562,383 = 562,383/x
  3. Step 3: Cross multiply
    367,794x = 562,383 × 562,383
  4. Step 4: Simplify right side
    367,794x = 316,274,638,689
  5. Step 5: Solve for x
    x = 316,274,638,689/367,794
  6. Step 6: Final answer
    x = 859,923.32

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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.