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Finding the Third Proportional to 329,632 and 718,016

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Solution

The third proportional to 329,632 and 718,016 is: 1,564,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,632 : 718,016 = 718,016 : x
  2. Step 2: Convert to fraction form
    329,632/718,016 = 718,016/x
  3. Step 3: Cross multiply
    329,632x = 718,016 × 718,016
  4. Step 4: Simplify right side
    329,632x = 515,546,976,256
  5. Step 5: Solve for x
    x = 515,546,976,256/329,632
  6. Step 6: Final answer
    x = 1,564,007.67

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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.