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Finding the Third Proportional to 431.75 and 655.50

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Solution

The third proportional to 431.75 and 655.50 is: 995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.75 : 655.50 = 655.50 : x
  2. Step 2: Convert to fraction form
    431.75/655.50 = 655.50/x
  3. Step 3: Cross multiply
    431.75x = 655.50 × 655.50
  4. Step 4: Simplify right side
    431.75x = 429,680.25
  5. Step 5: Solve for x
    x = 429,680.25/431.75
  6. Step 6: Final answer
    x = 995.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.