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Finding the Third Proportional to 327,056 and 479,816

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Solution

The third proportional to 327,056 and 479,816 is: 703,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,056 : 479,816 = 479,816 : x
  2. Step 2: Convert to fraction form
    327,056/479,816 = 479,816/x
  3. Step 3: Cross multiply
    327,056x = 479,816 × 479,816
  4. Step 4: Simplify right side
    327,056x = 230,223,393,856
  5. Step 5: Solve for x
    x = 230,223,393,856/327,056
  6. Step 6: Final answer
    x = 703,926.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.