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Finding the Third Proportional to 372.73 and 802.09

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Solution

The third proportional to 372.73 and 802.09 is: 1,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.73 : 802.09 = 802.09 : x
  2. Step 2: Convert to fraction form
    372.73/802.09 = 802.09/x
  3. Step 3: Cross multiply
    372.73x = 802.09 × 802.09
  4. Step 4: Simplify right side
    372.73x = 643,348.12
  5. Step 5: Solve for x
    x = 643,348.12/372.73
  6. Step 6: Final answer
    x = 1,726.06

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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.