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Finding the Third Proportional to 351.84 and 559.97

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Solution

The third proportional to 351.84 and 559.97 is: 891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 559.97 = 559.97 : x
  2. Step 2: Convert to fraction form
    351.84/559.97 = 559.97/x
  3. Step 3: Cross multiply
    351.84x = 559.97 × 559.97
  4. Step 4: Simplify right side
    351.84x = 313,565.00
  5. Step 5: Solve for x
    x = 313,565.00/351.84
  6. Step 6: Final answer
    x = 891.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.