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Finding the Third Proportional to 329,508 and 713,964.38

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Solution

The third proportional to 329,508 and 713,964.38 is: 1,546,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,508 : 713,964.38 = 713,964.38 : x
  2. Step 2: Convert to fraction form
    329,508/713,964.38 = 713,964.38/x
  3. Step 3: Cross multiply
    329,508x = 713,964.38 × 713,964.38
  4. Step 4: Simplify right side
    329,508x = 509,745,128,769.14
  5. Step 5: Solve for x
    x = 509,745,128,769.14/329,508
  6. Step 6: Final answer
    x = 1,546,988.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.