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Finding the Third Proportional to 567.25 and 1,191.88

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Solution

The third proportional to 567.25 and 1,191.88 is: 2,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 1,191.88 = 1,191.88 : x
  2. Step 2: Convert to fraction form
    567.25/1,191.88 = 1,191.88/x
  3. Step 3: Cross multiply
    567.25x = 1,191.88 × 1,191.88
  4. Step 4: Simplify right side
    567.25x = 1,420,566.02
  5. Step 5: Solve for x
    x = 1,420,566.02/567.25
  6. Step 6: Final answer
    x = 2,504.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.