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Finding the Third Proportional to 802.41 and 1,760.48

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Solution

The third proportional to 802.41 and 1,760.48 is: 3,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.41 : 1,760.48 = 1,760.48 : x
  2. Step 2: Convert to fraction form
    802.41/1,760.48 = 1,760.48/x
  3. Step 3: Cross multiply
    802.41x = 1,760.48 × 1,760.48
  4. Step 4: Simplify right side
    802.41x = 3,099,305.23
  5. Step 5: Solve for x
    x = 3,099,305.23/802.41
  6. Step 6: Final answer
    x = 3,862.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.