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Finding the Third Proportional to 542.75 and 775.75

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Solution

The third proportional to 542.75 and 775.75 is: 1,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 775.75 = 775.75 : x
  2. Step 2: Convert to fraction form
    542.75/775.75 = 775.75/x
  3. Step 3: Cross multiply
    542.75x = 775.75 × 775.75
  4. Step 4: Simplify right side
    542.75x = 601,788.06
  5. Step 5: Solve for x
    x = 601,788.06/542.75
  6. Step 6: Final answer
    x = 1,108.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.