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Finding the Third Proportional to 568.97 and 1,219.78

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Solution

The third proportional to 568.97 and 1,219.78 is: 2,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.97 : 1,219.78 = 1,219.78 : x
  2. Step 2: Convert to fraction form
    568.97/1,219.78 = 1,219.78/x
  3. Step 3: Cross multiply
    568.97x = 1,219.78 × 1,219.78
  4. Step 4: Simplify right side
    568.97x = 1,487,866.30
  5. Step 5: Solve for x
    x = 1,487,866.30/568.97
  6. Step 6: Final answer
    x = 2,615.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.