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Finding the Third Proportional to 352.88 and 747.38

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Solution

The third proportional to 352.88 and 747.38 is: 1,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.88 : 747.38 = 747.38 : x
  2. Step 2: Convert to fraction form
    352.88/747.38 = 747.38/x
  3. Step 3: Cross multiply
    352.88x = 747.38 × 747.38
  4. Step 4: Simplify right side
    352.88x = 558,569.39
  5. Step 5: Solve for x
    x = 558,569.39/352.88
  6. Step 6: Final answer
    x = 1,582.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.