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Finding the Third Proportional to 352.75 and 833.88

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Solution

The third proportional to 352.75 and 833.88 is: 1,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.75 : 833.88 = 833.88 : x
  2. Step 2: Convert to fraction form
    352.75/833.88 = 833.88/x
  3. Step 3: Cross multiply
    352.75x = 833.88 × 833.88
  4. Step 4: Simplify right side
    352.75x = 695,347.52
  5. Step 5: Solve for x
    x = 695,347.52/352.75
  6. Step 6: Final answer
    x = 1,971.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.