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Finding the Third Proportional to 294.26 and 691.98

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Solution

The third proportional to 294.26 and 691.98 is: 1,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 691.98 = 691.98 : x
  2. Step 2: Convert to fraction form
    294.26/691.98 = 691.98/x
  3. Step 3: Cross multiply
    294.26x = 691.98 × 691.98
  4. Step 4: Simplify right side
    294.26x = 478,836.97
  5. Step 5: Solve for x
    x = 478,836.97/294.26
  6. Step 6: Final answer
    x = 1,627.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.