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Finding the Third Proportional to 617.44 and 802.03

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Solution

The third proportional to 617.44 and 802.03 is: 1,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 802.03 = 802.03 : x
  2. Step 2: Convert to fraction form
    617.44/802.03 = 802.03/x
  3. Step 3: Cross multiply
    617.44x = 802.03 × 802.03
  4. Step 4: Simplify right side
    617.44x = 643,254.13
  5. Step 5: Solve for x
    x = 643,254.13/617.44
  6. Step 6: Final answer
    x = 1,041.81

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.