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Finding the Third Proportional to 367,839.50 and 821,793

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Solution

The third proportional to 367,839.50 and 821,793 is: 1,835,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,839.50 : 821,793 = 821,793 : x
  2. Step 2: Convert to fraction form
    367,839.50/821,793 = 821,793/x
  3. Step 3: Cross multiply
    367,839.50x = 821,793 × 821,793
  4. Step 4: Simplify right side
    367,839.50x = 675,343,734,849
  5. Step 5: Solve for x
    x = 675,343,734,849/367,839.50
  6. Step 6: Final answer
    x = 1,835,973.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.