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Finding the Third Proportional to 567.11 and 908.09

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Solution

The third proportional to 567.11 and 908.09 is: 1,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.11 : 908.09 = 908.09 : x
  2. Step 2: Convert to fraction form
    567.11/908.09 = 908.09/x
  3. Step 3: Cross multiply
    567.11x = 908.09 × 908.09
  4. Step 4: Simplify right side
    567.11x = 824,620.07
  5. Step 5: Solve for x
    x = 824,620.07/567.11
  6. Step 6: Final answer
    x = 1,454.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.