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Finding the Third Proportional to 671.75 and 895.88

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Solution

The third proportional to 671.75 and 895.88 is: 1,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.75 : 895.88 = 895.88 : x
  2. Step 2: Convert to fraction form
    671.75/895.88 = 895.88/x
  3. Step 3: Cross multiply
    671.75x = 895.88 × 895.88
  4. Step 4: Simplify right side
    671.75x = 802,592.02
  5. Step 5: Solve for x
    x = 802,592.02/671.75
  6. Step 6: Final answer
    x = 1,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.