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Finding the Third Proportional to 567.56 and 1,225.69

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Solution

The third proportional to 567.56 and 1,225.69 is: 2,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 1,225.69 = 1,225.69 : x
  2. Step 2: Convert to fraction form
    567.56/1,225.69 = 1,225.69/x
  3. Step 3: Cross multiply
    567.56x = 1,225.69 × 1,225.69
  4. Step 4: Simplify right side
    567.56x = 1,502,309.85
  5. Step 5: Solve for x
    x = 1,502,309.85/567.56
  6. Step 6: Final answer
    x = 2,646.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.