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Finding the Third Proportional to 335.89 and 519.03

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Solution

The third proportional to 335.89 and 519.03 is: 802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.89 : 519.03 = 519.03 : x
  2. Step 2: Convert to fraction form
    335.89/519.03 = 519.03/x
  3. Step 3: Cross multiply
    335.89x = 519.03 × 519.03
  4. Step 4: Simplify right side
    335.89x = 269,393.44
  5. Step 5: Solve for x
    x = 269,393.44/335.89
  6. Step 6: Final answer
    x = 802.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.