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Finding the Third Proportional to 567.28 and 1,221.56

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Solution

The third proportional to 567.28 and 1,221.56 is: 2,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.28 : 1,221.56 = 1,221.56 : x
  2. Step 2: Convert to fraction form
    567.28/1,221.56 = 1,221.56/x
  3. Step 3: Cross multiply
    567.28x = 1,221.56 × 1,221.56
  4. Step 4: Simplify right side
    567.28x = 1,492,214.94
  5. Step 5: Solve for x
    x = 1,492,214.94/567.28
  6. Step 6: Final answer
    x = 2,630.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.