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Finding the Third Proportional to 330,744 and 726,288

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Solution

The third proportional to 330,744 and 726,288 is: 1,594,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,744 : 726,288 = 726,288 : x
  2. Step 2: Convert to fraction form
    330,744/726,288 = 726,288/x
  3. Step 3: Cross multiply
    330,744x = 726,288 × 726,288
  4. Step 4: Simplify right side
    330,744x = 527,494,258,944
  5. Step 5: Solve for x
    x = 527,494,258,944/330,744
  6. Step 6: Final answer
    x = 1,594,871.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.