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Finding the Third Proportional to 542 and 923

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Solution

The third proportional to 542 and 923 is: 1,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 923 = 923 : x
  2. Step 2: Convert to fraction form
    542/923 = 923/x
  3. Step 3: Cross multiply
    542x = 923 × 923
  4. Step 4: Simplify right side
    542x = 851,929
  5. Step 5: Solve for x
    x = 851,929/542
  6. Step 6: Final answer
    x = 1,571.82

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.