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Finding the Third Proportional to 327,628 and 716,816

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Solution

The third proportional to 327,628 and 716,816 is: 1,568,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,628 : 716,816 = 716,816 : x
  2. Step 2: Convert to fraction form
    327,628/716,816 = 716,816/x
  3. Step 3: Cross multiply
    327,628x = 716,816 × 716,816
  4. Step 4: Simplify right side
    327,628x = 513,825,177,856
  5. Step 5: Solve for x
    x = 513,825,177,856/327,628
  6. Step 6: Final answer
    x = 1,568,318.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.