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Finding the Third Proportional to 327,168 and 463,952

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Solution

The third proportional to 327,168 and 463,952 is: 657,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,168 : 463,952 = 463,952 : x
  2. Step 2: Convert to fraction form
    327,168/463,952 = 463,952/x
  3. Step 3: Cross multiply
    327,168x = 463,952 × 463,952
  4. Step 4: Simplify right side
    327,168x = 215,251,458,304
  5. Step 5: Solve for x
    x = 215,251,458,304/327,168
  6. Step 6: Final answer
    x = 657,923.32

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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.