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Finding the Third Proportional to 617.67 and 1,356.84

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Solution

The third proportional to 617.67 and 1,356.84 is: 2,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 1,356.84 = 1,356.84 : x
  2. Step 2: Convert to fraction form
    617.67/1,356.84 = 1,356.84/x
  3. Step 3: Cross multiply
    617.67x = 1,356.84 × 1,356.84
  4. Step 4: Simplify right side
    617.67x = 1,841,024.96
  5. Step 5: Solve for x
    x = 1,841,024.96/617.67
  6. Step 6: Final answer
    x = 2,980.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.