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Finding the Third Proportional to 546.50 and 717.25

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Solution

The third proportional to 546.50 and 717.25 is: 941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 717.25 = 717.25 : x
  2. Step 2: Convert to fraction form
    546.50/717.25 = 717.25/x
  3. Step 3: Cross multiply
    546.50x = 717.25 × 717.25
  4. Step 4: Simplify right side
    546.50x = 514,447.56
  5. Step 5: Solve for x
    x = 514,447.56/546.50
  6. Step 6: Final answer
    x = 941.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.