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Finding the Third Proportional to 614.75 and 923.25

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Solution

The third proportional to 614.75 and 923.25 is: 1,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 923.25 = 923.25 : x
  2. Step 2: Convert to fraction form
    614.75/923.25 = 923.25/x
  3. Step 3: Cross multiply
    614.75x = 923.25 × 923.25
  4. Step 4: Simplify right side
    614.75x = 852,390.56
  5. Step 5: Solve for x
    x = 852,390.56/614.75
  6. Step 6: Final answer
    x = 1,386.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.