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Finding the Third Proportional to 327,124 and 463,900

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Solution

The third proportional to 327,124 and 463,900 is: 657,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,124 : 463,900 = 463,900 : x
  2. Step 2: Convert to fraction form
    327,124/463,900 = 463,900/x
  3. Step 3: Cross multiply
    327,124x = 463,900 × 463,900
  4. Step 4: Simplify right side
    327,124x = 215,203,210,000
  5. Step 5: Solve for x
    x = 215,203,210,000/327,124
  6. Step 6: Final answer
    x = 657,864.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.