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Finding the Third Proportional to 330,214 and 723,716

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Solution

The third proportional to 330,214 and 723,716 is: 1,586,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,214 : 723,716 = 723,716 : x
  2. Step 2: Convert to fraction form
    330,214/723,716 = 723,716/x
  3. Step 3: Cross multiply
    330,214x = 723,716 × 723,716
  4. Step 4: Simplify right side
    330,214x = 523,764,848,656
  5. Step 5: Solve for x
    x = 523,764,848,656/330,214
  6. Step 6: Final answer
    x = 1,586,137.62

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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.