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Finding the Third Proportional to 617.13 and 1,325.63

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Solution

The third proportional to 617.13 and 1,325.63 is: 2,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.13 : 1,325.63 = 1,325.63 : x
  2. Step 2: Convert to fraction form
    617.13/1,325.63 = 1,325.63/x
  3. Step 3: Cross multiply
    617.13x = 1,325.63 × 1,325.63
  4. Step 4: Simplify right side
    617.13x = 1,757,281.64
  5. Step 5: Solve for x
    x = 1,757,281.64/617.13
  6. Step 6: Final answer
    x = 2,847.53

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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.