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Finding the Third Proportional to 327,768 and 500,400

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Solution

The third proportional to 327,768 and 500,400 is: 763,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,768 : 500,400 = 500,400 : x
  2. Step 2: Convert to fraction form
    327,768/500,400 = 500,400/x
  3. Step 3: Cross multiply
    327,768x = 500,400 × 500,400
  4. Step 4: Simplify right side
    327,768x = 250,400,160,000
  5. Step 5: Solve for x
    x = 250,400,160,000/327,768
  6. Step 6: Final answer
    x = 763,955.48

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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.