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Finding the Third Proportional to 567.75 and 851.67

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Solution

The third proportional to 567.75 and 851.67 is: 1,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 851.67 = 851.67 : x
  2. Step 2: Convert to fraction form
    567.75/851.67 = 851.67/x
  3. Step 3: Cross multiply
    567.75x = 851.67 × 851.67
  4. Step 4: Simplify right side
    567.75x = 725,344.98
  5. Step 5: Solve for x
    x = 725,344.98/567.75
  6. Step 6: Final answer
    x = 1,277.58

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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.