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Finding the Third Proportional to 352.05 and 822.45

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Solution

The third proportional to 352.05 and 822.45 is: 1,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.05 : 822.45 = 822.45 : x
  2. Step 2: Convert to fraction form
    352.05/822.45 = 822.45/x
  3. Step 3: Cross multiply
    352.05x = 822.45 × 822.45
  4. Step 4: Simplify right side
    352.05x = 676,416.29
  5. Step 5: Solve for x
    x = 676,416.29/352.05
  6. Step 6: Final answer
    x = 1,921.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.