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Finding the Third Proportional to 461.75 and 690.88

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Solution

The third proportional to 461.75 and 690.88 is: 1,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 690.88 = 690.88 : x
  2. Step 2: Convert to fraction form
    461.75/690.88 = 690.88/x
  3. Step 3: Cross multiply
    461.75x = 690.88 × 690.88
  4. Step 4: Simplify right side
    461.75x = 477,308.27
  5. Step 5: Solve for x
    x = 477,308.27/461.75
  6. Step 6: Final answer
    x = 1,033.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.