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Finding the Third Proportional to 546.75 and 794.81

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Solution

The third proportional to 546.75 and 794.81 is: 1,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 794.81 = 794.81 : x
  2. Step 2: Convert to fraction form
    546.75/794.81 = 794.81/x
  3. Step 3: Cross multiply
    546.75x = 794.81 × 794.81
  4. Step 4: Simplify right side
    546.75x = 631,726.91
  5. Step 5: Solve for x
    x = 631,726.91/546.75
  6. Step 6: Final answer
    x = 1,155.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.