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Finding the Third Proportional to 567.97 and 805.44

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Solution

The third proportional to 567.97 and 805.44 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.97 : 805.44 = 805.44 : x
  2. Step 2: Convert to fraction form
    567.97/805.44 = 805.44/x
  3. Step 3: Cross multiply
    567.97x = 805.44 × 805.44
  4. Step 4: Simplify right side
    567.97x = 648,729.57
  5. Step 5: Solve for x
    x = 648,729.57/567.97
  6. Step 6: Final answer
    x = 1,142.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.