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Finding the Third Proportional to 335.44 and 722.06

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Solution

The third proportional to 335.44 and 722.06 is: 1,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.44 : 722.06 = 722.06 : x
  2. Step 2: Convert to fraction form
    335.44/722.06 = 722.06/x
  3. Step 3: Cross multiply
    335.44x = 722.06 × 722.06
  4. Step 4: Simplify right side
    335.44x = 521,374.25
  5. Step 5: Solve for x
    x = 521,374.25/335.44
  6. Step 6: Final answer
    x = 1,554.31

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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.