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Finding the Third Proportional to 738.94 and 1,614.56

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Solution

The third proportional to 738.94 and 1,614.56 is: 3,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.94 : 1,614.56 = 1,614.56 : x
  2. Step 2: Convert to fraction form
    738.94/1,614.56 = 1,614.56/x
  3. Step 3: Cross multiply
    738.94x = 1,614.56 × 1,614.56
  4. Step 4: Simplify right side
    738.94x = 2,606,812.07
  5. Step 5: Solve for x
    x = 2,606,812.07/738.94
  6. Step 6: Final answer
    x = 3,527.78

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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.