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Finding the Third Proportional to 329,157 and 718,632

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Solution

The third proportional to 329,157 and 718,632 is: 1,568,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,157 : 718,632 = 718,632 : x
  2. Step 2: Convert to fraction form
    329,157/718,632 = 718,632/x
  3. Step 3: Cross multiply
    329,157x = 718,632 × 718,632
  4. Step 4: Simplify right side
    329,157x = 516,431,951,424
  5. Step 5: Solve for x
    x = 516,431,951,424/329,157
  6. Step 6: Final answer
    x = 1,568,953.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.