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Finding the Third Proportional to 299.34 and 634.92

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Solution

The third proportional to 299.34 and 634.92 is: 1,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 634.92 = 634.92 : x
  2. Step 2: Convert to fraction form
    299.34/634.92 = 634.92/x
  3. Step 3: Cross multiply
    299.34x = 634.92 × 634.92
  4. Step 4: Simplify right side
    299.34x = 403,125.79
  5. Step 5: Solve for x
    x = 403,125.79/299.34
  6. Step 6: Final answer
    x = 1,346.70

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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.